I'm also a part-time student and I've looked into the transferring option as well. Most schools seem to have a minimum number of credits that you need to have completed by the end of your first year (Part or Full time) in order to be eligible to transfer. For most schools it seems to be in the low 20s--which typically a student will have even if they are part time. But, like the last post said, you'll have to go the the admissions web page on the schools you are thinking about transferring to to get any specifics. Yeah, its a pain. But on the bright side we get to call ourselves 4Ls, lol.
By the way, what school do you go to if you don't mind me asking? I'm not sure all that many schools have part time programs, so I'm wondering if we are at the same one.