ADVICE FOR SERVER TRANSFER

I am transfering my VPS hosting plan from one company to godaddys VPS solutions. I have bought the VPS server, and it is also active now. On my old server I have hosted 5 websites, I need to have transfered to my new. Only the Domain NAME, NOT the content. I do not know , how I can transfer one domain from one server to another one :-( This takes u max 5 min. I will give only GOOD feedback, no money will be paid!! Only bid, if you are ready to give me advice for a good feedback