Get shoes, mang. First, you can get a decent pair for forty-some bucks, which pays for itself if you bowl regularly. Second, having a consistent slide is actually really helpful. I bowled youth for years and didn't get my own pair of shoes until I was done growing. I figured personal shoes were just a status thing for kids who wanted to act all serious business about it, but when I got my own I was all "omg, what have I been missing?"
Ditto your own ball. Find an alley ball you feel comfortable with and order one the same weight. Even if you make a "wrong" pick you'll do better just from using the same equipment.
Your average is plenty high to not be embarrassed about getting shoes and a ball. It's probably at a point where it'll be hard to improve if you don't buy some, actually.