Thanks for being so helpful!
Sorry, you misunderstood me. The "old" account i meant was the one I'm already hosting with you (Hostony). I plan of getting a second account with you guys.
The thing is, in my current account with you i have more webspace than i need for the current project being hosted. But my new project is bigger, so, i was thinking of getting a smaller account where we could shift the "old" project with the "old" domain to. And after having shifted all the files from the "old" account to the new one, i would upload my new website on that "old" account, we would only have to add extra the new domain which i will order. The old domain has to be shifted as well to the new account. You get the picture ?