Transferring Colleges HELP

I do not know or think I am transferring colleges but if I do, I have a couple questions. I have already signed a lease for an apartment at my current college, so if I transfer, what happens there? Do we have to pay it all? Next, can I simply just apply for colleges as a transfer and see if I get in? (not for fun but in the sense as apply to prestigious schools and if I get in then I consider, if not then so be it?) Also, if I am a business major here with a good GPA, can I switch to an engineering school and major or is it too hard to change to engineering? How about changing enginenering at my current school?