How about some real valuable input.

You are on page 3 from a PC in houston!

If you have Cpanel here are the instructions. For godaddy or plesk call your host and tell them what you are trying to do.

Log into where you purchased domain A and forward it to the name servers at B's hosting. Then go into B Cpanel and click on add on domains. Add your domain. Once the domain has been added go to domain redirects and redirect your old domain to new.

For type choose permanent 301

Choose the domain you want to redirect from the drop down. Next manually type in your new domain name where it says "redirects to".

I think I disagree as moving site A's hosting to a new ip causes a drop in rankings.

Never heard about this before. I think this is not true, i have chagned IP's in the past without any consequences.