Thanks for your response Roy. Sorry if my note was confusing, I didn't
ask Godaddy if I could delete my old domain name, I am going to keep it
and just forward it to the new host/domain name. What they said was,
they couldn't keep my existing hosting account and assign my new domain
name to it. Said I'd have to create a new hosting account with the new
domain name, then delete my old hosting account (but again...still
keeping my old domain name).