Glad to hear you've found a solution; for future readers of this thread, I'll just mention that I've been a happy Dreamhost customer for years - I definitely recommend them!
There's some advice on this subject in this previous thread, too:
Search for the cheapest webhosting
Jo, if your WP blog files reside on your current provider's machines, then I think you'll need to move those files to your account with GoDaddy before you close your current account. (As you probably know, when you close out a hosting account, usually all of your files will no longer be accessible, so make sure you have your own copy of everything before you close it!) If you need more help with this send me a PM, I'd be happy to give you a hand. Good luck!
Thanks Liz, appreciate your help
Yes, I think I will lose my blog for sure. I am planning to open up my GoDaddy domain today and start moving everything over there. I already backed up my webfiles yesterday. I didn't start blogging yet, so that is a plus I will just wait on that.