As a fellow beginner, I understand where you're coming from. My best advice is simple: listen to the kind of music you want to play as much as you possibly can, as in all the time!
Right now I'm starting jazz standards (Autumn Leaves, yay me

My satellite radio goes on the RealJazz station the minute I get home from work. Even while I'm doing other tasks, the rhythms and melodies get in my head and give me a better "feel" for jazz.
Also, every week after my Saturday lessons, I make a new playlist of songs I'm working on or want to learn. I commute about 5 hours a week, and it's a great chance to listen critically (reduces road rage too!) When it's time to practice, I already know in my head what it's supposed to sound like, if that makes any sense.
This week I've got 5 versions "Autumn Leaves" in 3 different keys, "Mack The Knife," a little Amy Winehouse, and "Mr. Magic" (which is based around the circle of fifths, great song!)
Hope that helps, happy playing!