Just to clear things up from a web hosts perspective. There is no such thing as "unlimited" in the hosting industry. You cannot have a hard drive that is infinite in size. Just as you can't have unlimited bandwidth because if you are hooked up on a 100mbit line, you can only have as much bandwidth as that can push.
Anyone offering you unlimited services is lying. Read the fine print
I know CIhost is good for this, they offer you unlimited bandwidth. But, read the fine print, and after 20 GB/month you will be put under watch, and most likely charged or your service terminated, etc...
So just be wary of hosts who offer unlimited plans. They are overselling, crowding the servers, and offering all of this space knowing that most of their customers won't use it. But as soon as someone does, they usually have to suspend the account.
But if you have some more specific space/transfer requirements, I can help point you in the right direction
