Well, your wrestling background is going to help you out a lot, because you should be able to take the fight wherever you want, standing or to the mat.
With that wrestling background, you should learn some solid striking to help set up your take downs and give your opponent something else to think about besides the shot. Muay Thai is really hot right now and starting there would be nice, but a boxing or kickboxing background would be sufficient if you can't find a Muay Thai school near you.
Obviously, you're going to need to know Brazilian Jui Jitsu. If you take someone down and don't know how to defend submissions, you're done for. As a wrestler, you could focus on submission defense and getting out of locks, but it would be better if you worked all aspects of BJJ, defense and offense.
To be a successful MMA fighter today, you have to be incredibly well-rounded. Work striking, continue to improve your wrestling, and get a submission background and you should be successful. The more dynamic your game becomes, the better off you'll be.
Lastly, never underestimate diet and exercise. It will make your training pay off. Cardio, Cardio, Cardio.
Best of luck.