That shop looks nice and I'm sure they do a great job of tattooing daily. Personally, nothing catches my eye, which would make me look elsewhere. But, I'm not getting my first tattoo anymore and I've learned what I love and look for in a tattooer. This is your first, probably won't be your last, just look for something exceptional.
TAM Blog has this up, and it's been posted here before. While I find fault with a few things, I think it is a good starter for someone new to tattooing: Guen Douglas: How to Properly Examine a Tattoo Portfolio | TAM Blog