new shoes

I'm getting back into running and let me tell you... I'm slow. My mile is in 11 minutes. Yeah, embarrassing. But I live in a very hilly area so i blame that. Amazingly I can run 1.5 miles without stopping. That's a start. My goal is to run a 5k on April 20th and a 10k sometime in June. That sounds like death because I hate running but it's still a goal... Anyways my question for anyone reading this, what shoes should I buy?? I am in need of some good ones because I'm hoping to put a lot of miles on them!!