Will any monitor go into my computer?

Tell us what kind of Videocard you have, tell us what monitor you're currently using, and we can tell you what to look for. In general, there are 2 cables: VGA and DVI. VGA is a legacy cable, mostly for CRTs and very old LCDs. It provides good enough video out and is used on a large number of computers. DVI is a newer standard, for most LCDs and high definition televisions. It's a pure digital cable and provides superior image quality. If you're using a videocard with a VGA port and no DVI port, you will not be able to use a newer LCD. If you have a DVI port, you can use both(there is a DVI to VGA adapter).

VGA looks like this:
http://upload.wikimedia.org/wikipedia/commons/9/92/SVGA...
DVI looks more like this:
http://upload.wikimedia.org/wikipedia/commons/d/d5/DVI_...