How do I go about moving my web site?

My site was hacked last week and I cannot get any tech support so I need to move it to a new host. I have an account at godaddy which allows me to host another site there so I'll move it there.

I have all the files on my computer hard drive and I use Dreamweaver so physically I can easily upload my non-hacked files to a new host.

However, since I am not a seasoned web master I have the following questions:

1) If I move my site - same urls, same exact pages - to a new host, will my ranking at google and other SE's be affected? I assume not, but just want to be sure. One person already told me "not" but this is so important I want more opinions.

2) What steps do I have to take to move my site to a new host? Is it just a matter of uploading it and that's that, or are there forms to fill out, changes to institute etc... I assume I would delete my account at the current host... and upload it to the new host... but what else do I have to do?

I'd really appreciate any feedback anyone can offer on this because this is the first time I've had to move a site to a new host.

By the way, the reason I am moving it is because my current host (would love to give their name here but not sure if that's allowed) promises 24/7 tech support but they have not responded to my several attempts to contact them in 120 hours. I know all cheap hosts probably have lousy tech support but this is ridiculous! Also because I have no way of knowing if the hacker got in through my (formerly weak) password or if they got in through the Host themselves, in which case I have no way of protecting my site, and also there are lots of files the Host has within my site that I did not put there so I have no way of knowing what's good and what's bad. Better to start over with a new host I think.