www.alpinerobotics.com is hosted at
totalchoice hosting. We have the silver package, which is rather cheap and comes with no limits on just about anything but bandwidth and disk space. This has served us well for the past year, with only one short outage that we were quickly notified of. We also bought the domain through their process, which goes to secureserver.net, which was not the cheapest possible, but it integrated nicely and we were up and running quickly.
I also host my own website on my computer, but since I only have cable, the upload rate (and therefore download for everyone else) is too slow for any major website.