Gymnastics and Gyms in Tokyo or Nagoya

I am planning on going on foreign exchange to Japan next year, but I am very into gymnastics, weight lifting, and martial arts. I was wondering how I could find out locations for a gymnastics gym and weight lifting gym.
For my needs would Tokyo or Nagoya be better for me if I went to:
Tokyo University
Toyo University
Chukyou University
Nanzan University

I guess this is a pretty weird question. Maybe if someone can just point me in the right direction on how to find these kind of places.

If you are able to read Japanese, type in ﾆ稚ﾆ達ﾆ鍛ﾆ暖ﾆ値ﾆ湛ﾆ誰ﾆ停?ｰﾆ置ﾂ 窶愬停?ｹﾅｾﾂ or ﾆ稚ﾆ達ﾆ鍛ﾆ暖ﾆ値ﾆ湛ﾆ誰ﾆ停?ｰﾆ置ﾂ 窶督ｼﾅ津??ｰﾂｮﾂ in the Google search box, then you will get tons of results.
Good luck!

My Japanese isn't the best, but I can definitely do that and do my best. Thank you very much!