Looks like it's time for a product recommendation!
For reasons having nothing to do with crime, I found it necessary to buy a "security camera." Within a week, I had plenty of video, of excellent clarity, by both day and night. I saw what I needed to see ...
The camera is called "Dropcam." Available for about $150, you can find it on-line and at BestBuy.
Dropcam works with your own wireless network and home computer. The mounting system is simple, infinitely adjustable, and has an integral IR light for night-time use. It requires an ordinary 120V receptacle, and is NOT intended for outdoor use. (Personally, I'd have no problem with the camera being placed in a sheltered location - the 'weak link' appears to be the power supply that plugs into the receptacle.