I am a girl who is around 20. I am interested in ice climbing. I knew that climbing ice requires a lot of strength and I am sure that I am not capable of doing it right now, because I am not a very sporty person. (I cant even do a push-up. LOL)

So I planned to work out for a couple of years for the ice-climb. (I need to work out before taking an ice climbing course)

How should I prepare for the ice climbing? What I can do to increase my muscle strength? What is a good way to improve my endurance?

BTW, I personally consider my forearms and upper arms are the weakest part of my body. Is there anything I can do to increase my strength?

Thank you so much for your advice! Supplemental information are welcomed.

P.S. I don’t think going to those fitness center is suitable for me. Is it possible to work out in my own house? Is running good for training?