What you need.
A bird box
A web cam
Enough USB cable to run from the bird box to your PC.
Web Cam software.
What I use
The bird boxes

The Web Cam.

Make sure the cam is a proper infra red camera, there are a lot of cheap copies
out there that say the have infra red LEDs but are actually bright white lights.
The Cable
If the distance required is more than 5m you will need and amplifying USB cable otherwise standard USB extensions will do.
The Software.
I use Easy Free Web Cam (Others are available) http://www.easyfreewebcam.com/index.html
This program loads pictures to a web space (supplied free by them) or to a specified address. It also downloads a picture stream to your IP address. I have incorporated this into my own web pages. I use a hardware firewall and needed to configure this to allow inward traffic to my IP address.
Total cost
for the project was less than £50.
There are a lot of kits available but a lot seemed to be based around a video
camera rather than a web cam. Using a web cam seems the best solution
for publishing to the web. It may be too late to set up for this year but why
not set one up for next year and we could start up a network of birdie cams.