if you actually have a lot of various domains hosted, or are truely renting a server; you should look at a more reputable provider.
For VPS solutions I'd recommend someone like
www.webintellects.com or www.powervps.com; for dedicated servers theres a ton of providers which actually let you run the server as you wish.
As for moving things, you could always hire a webdeveloper to migrate your site(s) for you.
