Shougi sure was a big thing this year, wasn't it!

Yeah, it was.

Kinda got me wanting to start doing shougi, you know?

Ahh... maybe I'll really warm up to shougi too? 段を取る /dan wo toru/ to get a black belt; Yuubari is saying that maybe she'd like to try to get a shougi certification. Joke changed for comedy purposes.

Shougi will...warm you too? 暖を取る　/dan wo toru/ to warm yourself (at a fire etc)