WOlf Spider or Grass Spider?

I believe this is a Grass Spider, and a male judging from the size of the abdomen and pedipalps. Note also the presence of webbing. Wolf Spiders only use webbing when making egg sacs, whereas Grass Spiders form funnel-shaped webs in the grass. Hope this helps, and that your Spider has a long, happy life should you decide to keep him.

Certainly a grass spider. They are known to make their funnel-shaped webs in anything that has a small whole and structure adjacent to it to secure the web to. If you found this spider around your house, you should be seeing these webs around there as well.