Stony Brook transfer chances?

I plan on applying to stony brook as a transfer for the spring of next year and was wondering my chances of getting into their computer science program.
I currently have a 4.0 GPA and plan to finish this semester with a 4.0 at a 4 year university. I have a ton of volunteer work about (20 hours) and plan to keep dong more volunteer work before I apply. I am currently in the schools engineering club and robotics club. Not sure if this helps, but I am currently majoring in mechanical engineering. Also what should I be doing to increases my chances and make my application more competitive.