I host my personal website GAE. One thing to be aware of is when moving to a personal domain, you need to map to a subdomain so you can't use a naked domain[1] (e.g. 'http://github.com'). You have to map to something like 'www.'
I thought about adding an edit in there to clarify you could do that, but I think the points remain that in the end, you still end up with www. in the URL bar.