Pritikin Recipes

I’m currently about 5’8" and 120 pounds give or take 3 pounds.
I’m sixteen years old, I have a good amount of muscle mass and I’m pretty athletic. I don’t want to hear anything about how losing weight is a bad idea. I know that I can be healthy and weigh 110, which is my goal.
I realize that it’s not important what I weigh, it’s important how much muscle I have compared to how much fat I have. I do know that I haven’t gained much muscle mass since I weighed 110. So, the 10 pounds I gained is mostly fat.

So, I want to lose 10 pounds in 3 months.

Most weight loss plans target people with a significant amount of fat and 10 pounds is only scratching the surface. I want something that will work for someone my age, my build, and with a few basic requirements.

1. I do not eat meat. I need a lot of foods that are high in protein. I also need more iron. I don’t have a lot of either in my current diet.
2. As a general rule, I run 2 miles per day. It’s getting cold out, though, and I don’t have a local gym I can run in. I need other exercises, aerobic and anaerobic that I can be doing indoors. Anyone have any good ideas, share them?
3. I don’t have a lot of money for food right now. I need foods that aren’t expensive. That means none of these, "all organic" diets or any of that.
4. I don’t like many fruits. I can down them if it’s a must, but I’d rather avoid eating more than absolutely necessary.

Has anyone been in a similar situation?
Tips are helpful. References. Names of popular diets that you hear work. Anything helps.

Thanks in advance.

My question again was about popular diets and there have been some great answers