If you want to remote into your computer and view the camera on your computer's screen I recommend LogMein over GoTomyPC because LogMein is free.
To view a usb camera without a remote desktop connection, you would need some software on your computer which will serve the camera's video up to the LAN, preferably on port 80.
Using a true network camera would be much easier than running a web server on your pc. I suggest getting a true network camera, then just port forward from your home router. Dynamic DNS will keep you pointed at the right ip address as your ip address changes periodically.
Some residential ISPs in the US block port 80 to make you pay for the business class solution. To get past this you can do a port transformation from an available port, such as port 70 to port 80 at the router, and this will allow you to serve up the camera while the ISP blocks port 80.