Let me be another that chimes in to say that so far my iPad 3 works quite well with iOS7. I did a clean install though as I was coming from a jailbrake.
Battery life seems as good as before. Speed is about the same. So far, so good..
While I'm at it: a pet peeve is people talking about a "clean install" of iOS. This is not one of your options if you have a problem. Your options are Restore and Recovery.
I know the whole skeuomorphic design wasn't everyone's cup of tea, but at least iOS6 was rock solid. I don't care how it looks if it's unstable! I can honestly say that I've never been so frustrated since owning my iPad. I don't know what it's like on an iPhone but on the iPad it feels like it should still be in beta testing.
You can. Three gestures that may be of interest to you:
Four-finger swipe up: activates the "multitasking" mode (equivalent to double-tapping the home button). This worked in iOS 6 and I believe iOS 5, as well, although the way that the apps were displayed was different.
Four-finger swipe to the left or right: cycle between open applications. The order of cycling is based on which apps had focus most recently. There is no home button press equivalent for this gesture.
Four-finger (I use five) close: this is the same gesture that you use to activate Launchpad on OS X. It functions the same as if you had pressed the home button once.
I use these gestures all of the time and very rarely touch the home button. If it weren't for the implementation of TouchID, Apple could have removed the home button on the iPad and I would not have been affected. I hope you find that helpful!
Actually it is an option, it might NOT be an easy option (thanks to Apple) but it is an option.
If you have access to your iPad you can simply go to Settings | reset | erase all content and settings. Then connect it to iTunes and restore and set up as new.
If you don't have access to your iPad you can connect it to iTunes restore, and then go to settings | reset | erase all content and settings | then connect to iTunes and restore once again and setup as new.
This gets one a *clean install* and you will gain speed.