There are many ways to translate it, but I think it's best to keep it simple if it's the name of a store. I'll translate it to--

気楽屋（き らく や）

ki raku ya

Pronunciation：key raku ya

p.s. A lot of stores in Japan just call it "XX House". I'm afraid it's not a good translation. I'm afraid it doesn't translate well to be a minya