I've made a website to go on App Engine, and have deployed it. I've redirected my domain name to ghs.google.com, and it successfully goes to my site.
The problem is that in the address bar, 'www.mysite.com' turns into 'myappid.appspot.com', and I haven't got a clue as to how I make it stay with 'www.mysite.com'.
It seems like such a simple thing, but It's starting to drive me insane!
How do I fix this?
Have a look at this quick guide, in essence:
Add a CNAME for www.yourdomain.com and point it to ghs.google.com.
Sign in to your application via appspot.com.
Click the Administration → Versions link.
Click the Add Domain... button under the Domain Setup section
Add www.yourdomain.com in the domain name box and click the Add Domain... button
The only reason you'd get the behaviour you're describing is if your app is issuing a 301 or 302 redirect from www.mysite.com to mysite.appspot.com. App Engine won't do this itself. If you paste the relevant handler code, perhaps we can spot the issue.
With respect to the naked domain question. Please take a look at: http://code.google.com/appengine/kb/general.html#naked_domain and follow the link provided there.
I found that my domain name provider allowed me to do a URL redirect from http://mysite.com to another url, but unfortunately it didn't let me redirect http://mysite.com to http://www.mysite.com.
I found that it would however let me redirect to http://www.mysite.com/home though, so I've done that. From www.mysite.com/home, I could have done a redirect to www.mysite.com, but I'm not that fussy :)
I think that in my original question, my browser might have been caching things, so when I was playing around it wasn't responding properly. A reset of my history or a ctrl+F5 helped the second time around.
The first answer provides pretty good instructions on the google apps side of things but the link provided really threw me off with the instructions about setting up stuff at dyndns.com (which seems really strange to me). I only needed to touch google apps, and my domain name provider.
Google has some doc as well which I found http://www.google.com/support/a/bin/answer.py?hl=en&answer=61057
Thanks for everyone's help :)