I own iTeleport, iTap VNC and RDP, Wyse Pocketcloud, Jump, and Desktop Connect. Each have pros and cons, and some are better than others, but all of them are solid apps and worth the money. For those that just want one good app for controlling other computers remotely or over a local network, I will list the pros and cons, and how they compare to each other.
iTeleport is the most expensive, packs the most features, and was the easiest to setup. iTeleport is VNC only, which means it will work well running with native screen sharing on the mac, but will need a VNC server to be installed on the PC (ultravnc is my favorite). If you enable screen sharing on your mac, the setup will be idiot proof, as it will auto discover your mac for use on your local network. Connecting to your mac or PC remotely will require you to setup a google account and use iTeleport's software that syncs with google cloud. The best option, though, is to just obtain your external ip and forward a port for each computer.
Pros:
iTeleport supports ssh tunneling, multiple mouse control options, the ability to hide screen contents on ipad, a full array of misc keys, and the best implementation of gestures (not to mention the most gestures of any of the clients). Gestures include 3 finger swipes up and down to hide and show the keyboard and taskbar, 3 finger tap to zoom, 3 finger side swipes for task manager, 4 finger swipes for expose, and of course two finger tap to right click, pinch to zoom, and drag to scroll.
Cons:
For a 25 dollar app, it lacks the polish of some of the cheaper apps. The modifier keys are unattractive and hover separate from the keyboard at the top of the screen when activated. The media control keys only work with vine server installed on the mac (will not work with screen sharing). The biggest issue I have with iTeleport is that it feels sluggish. Screen refresh is on par with the other vnc apps, or better, but the redraw on the ipad is the worst of any of the apps. Pinch to zoom is very slow and only zooms in on the mouse. Single finger drag to pan is slow for the screen to update and reposition. This is on local or remote networks, and the color quality doesnt seem to make much of a difference.
iTap VNC and RDP are both pretty much the same, they just use different protocols. iTap packs solid features (not as many as iTeleport), good performance, and the most polished UI (or rather lack of a UI) of any of the remote apps. iTap will be a little tricky to setup for remote access unless you know how to do port forwarding. The documentation is all included in the app. The RDP client will run natively with remote desktop included in the upper versions of windows (check their list of compatible OS's in the app store or their web site), and the VNC client will of course run natively in OSX with screen sharing.
Pros:
Ill say this again, this app is polished. All the keys, menus, and animations are excellent. 3 finger down swipe will activate the keyboard with a nice animation. All the necessary modifier keys are right there attached to the standard keyboard, with a separate button to activate the misc keys and numpad. The interface is touch only, and is the best touch interface of any of the remote apps. You can tap and hold for accurate controls via a scoping system (basically a magnifying glass pops up at your finger tip) that will allow you to drag the mouse. There is no taskbar so none of the screen is obstructed during normal use. The speed of the VNC client is on par with iTeleport, except the ipad redraw rate is much better. Pinch to zoom is smooth and accurate, and panning works perfectly. The speed of the RDP client is also on par with the others. Both iTap clients use the same gestures. These include the aforementioned 3 finger swipe for keyboard and pinch to zoom, but also include 3 finger right swipe to end session, 2 finger tap to right click, and drag to zoom.
Cons:
There aren't that many. The VNC client lacks some of the features of iTeleport like the ability to hide screen contents and some of the advanced gestures. The biggest issue with the iTap client is its sole reliance on touch mode. All of my other remote apps offer multiple options for controlling the mouse. I also had a few issues with some of the misc keys not working under OSX. I have spoken to the developer (who was very quick to respond) and was told that they will look into fixes for the misc keys under OSX, and that they will be including additional mouse control options in a future update. Lastly, unlike like iTeleport, I notice the mouse will stop responding on occasion (usually for a few seconds at a time). Hopefully this will also be fixed in a future update.
Wyse Pockeycloud is a good all-around RDP client with solid performance, a polished UI, and the best mouse control of any of the remote clients. Setup is similar to all of the other apps, and the ability to do port forwarding will make it very easy.
Pros:
It's all about the mouse controls. A single tap of the mouse icon brings up a (nicely animated) mouse icon with a group of buttons attached. These buttons are always fixed to the mouse so they can be activated quickly from your fingertip. These options include a right click, a scrollbar, and keyboard activation button. These controls are necessary as Wyse supports almost no gestures (except pinch to zoom and single finger panning). Everything is run from mouse or the taskbar (which can be hidden). Performance is good, and audio streaming works well (audio streaming quality can be set in options). Lastly, like iTap and Jump, the pinch to zoom and panning speeds are excellent.
Cons:
Already mentioned the big one. Complete lack of gesture support. No two finger tap to right click or drag to scroll. No gestures to bring up keyboard, hide taskbar, or zoom. Another issue (purely cosmetic), is the login screen. Wyse has, by far, the ugliest login screen. the huge bold font and over shadowing looks like it came straight from a free app. Also, when launching the app in landscape mode, the login screen will start in portrait before adjusting. If Wyse fixes the login screen and adds full gesture support this will be a real winner.
Jump went from average to great with its latest update. Like the other RDP clients, setup was straight forward and performance was excellent. This app is now fully featured and packs a fairly polished UI.
Pros:
Offers a ton of features for the price. Multiple mouse controls, gestures, and a clean look make this one of my favorites. The UI has gotten sooo much better in the latest update. The taskbar is much nicer and can now be hidden. The mouse control is very similar to Wyse but also offers a full array of gestures. Pinch to zoom and panning are quick and responsive.
Cons:
Despite great strides in the last update, I would like to see even more attention given to polishing the UI. The fixed circle for controlling the mouse (which can now be hidden) is ugly compared to the one used in Wyse. The full array of misc keys is great, but like the mouse circle, is ugly and takes up way too much screen real estate. Either make the vast space between the keys transparent, or fit them closer together like the misc keys in iTap. Since the developer is here on these forums, I would like to throw in a few other requests. Please add gesture support for zooming. Pinch is easy, but a 3 finger tap to instant zoom and unzoom would be nice. I have been spoiled by the fingertip controls of Wyse, so similar additions to the Jump mouse controller would be great.
Desktop Connect is solid, but lacks the polish of all the other apps. I will keep this short because I dont use it very often. The biggest reason to get this app is price. If you are on a budget and need RDP and VNC support, this is a really good deal. Also, it has great auto discovery of both windows and mac machines on your local network. The login screen is gorgeous, but the rest of the app was hit with the ugly stick. Almost all of the features of the other apps are present, but the presentation is sloppy. If they can overhaul and clean up the UI, this will be on par with the others.
. Tap and hold then drag the pointer. It can also be done the same way with your finger. 
