Im a noob when it comes do this so... will I have any problems hook up a 13 MBP with a 24in LCD with a resolution of 1920x1200. How about dual monitors? 
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13in MBP i5 & external displays
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Possible with the right DVI or VGA or even HDMI adapter:
Then go to System Preferences > Displays >> Arrangement and see if MIRROR DISPLAYS is checked. If checked, the external display will be set to the lowest common resolution, which is 1280 x 800 in this case and it mirrors the MBP's internal display. If deselected, you can then choose the native resolution of the external display and you have a dual monitor setup, albeit with vey different monitor sizes (13" and 24").
Mini DisplayPort (MDP)
Mini DisplayPort is the current digital standard on all current Macs to transfer video to an external display or TV. It has been introduced in 10/2008 with the release of the Unibody MacBook and MacBook Pros and has gradually been adopted on all other Macs.
MDP is capable of transmitting video, and since 2010, audio too. MDP is a miniaturised version of DisplayPort. It is also license free and can support resolutions of up to 2560 x 1600, which Mini DVI and Micro DVI are not able to do.
MDP adapters can be bought online from:
MDP to VGA adapter from Apple
MDP to DVI adapter from Apple
MDP to Dual-Link-DVI adapter from Apple
Moshi Mini DP to HDMI Adapter with Audio Support adapter from the Apple Online Store
Mini DisplayPort + USB to Dual-Link DVI adapter from Monoprice
Mini DisplayPort to DVI adapter from Monoprice
Mini DisplayPort to VGA adapter from Monoprice
Mini DisplayPort to HDMI adapter from Monoprice - *NOTE* This product does NOT support audio for Macs that outputs audio through the Mini DisplayPort.
Mini Displayport Male and USB Male/Toslink Audio to HDMI Female Converting adapter from Monoprice
Mini Displayport Male and USB Male Audio to HDMI Female Converting adapter from Monoprice - *NOTE* Will only support 2 channel stereo. Will not support 5.1 Dolby Surround like the above adapter.
Mini DisplayPort to Mini DisplayPort Cables from Monoprice
Mini DisplayPort to VGA Cables from Monoprice
Mini DisplayPort to DVI Cables from Monoprice
Mini DisplayPort to HDMI Cables from Monoprice
Also of interest: "What is "Mini DisplayPort"? Is it an industry-standard? How is it different from or better than Mini-DVI and Micro-DVI?"
Then go to System Preferences > Displays >> Arrangement and see if MIRROR DISPLAYS is checked. If checked, the external display will be set to the lowest common resolution, which is 1280 x 800 in this case and it mirrors the MBP's internal display. If deselected, you can then choose the native resolution of the external display and you have a dual monitor setup, albeit with vey different monitor sizes (13" and 24").