For video recording, I would recommend a computer used as a Digital Video Recorder, or DVR.
Positive: Inexpensive, can be viewed from anywhere via the internet, large storage volume.
The only drawback is your computer would have to be 'on' if you want to record.
A wired camera, or wireless receiver gives you analog video, which can be split to one or many TV's, computer, VCR, etc.
For the computer attachment, you can use the VA12A and associated software. I have not found them to be user-friendly. As many have said before, there is a USB video adapter quite similar to X10's available quite reasonably on Ebay. If you only want one camera, they are
quite reasonable. When you are using one camera, you get full-motion video (30 frames per second). Since you only talk about one camera, I will stop there. The included software allows you to record full-time or the software will sense changes in the image, and sensing this as motion will start recording. Using this motion-only recording, you can get months of video stored, unless you put your camera at the shopping mall.
Simply do an ebay search for "USB DVR" or "USB Video". Amazon.com has similar items for a few more dollars. Certainly under $20 and you should have a working USB video capture device with DVR software.
Just one word of caution: Inexpensive cameras such as X10's require a LOT of light to get a nice clear picture.
I hope this helps! Let us know how it worked for you!