Will applying for jobs with your current address keep you from getting a position in a new state?
If you are applying for high profile jobs, then no. Your current
address is fine. For lower profile jobs, you might want to include
a cover letter letting the employer know you are relocating. High
profile jobs, will of course fly you out to interview if they're
interested, and lower profile will ask you to interveiw when you
there living @ your new address.