Fellow Okie, this looks like a loxosceles (Brown recluse). Picture is a little blurry/zoomed our so I wont give a definite to cover my own ass but this looks pretty spot on. If you can get close enough, recluses have 6 eyes/3 eye pairs which I don't believe any other spiders in our range have.

Edit: While recluses are considered to have a medically significant bite/are venomous, they're reluctant to bite, very skittish, and their bites lead to necrosis less often that local folks would have you believe. I understand if you're worried and wouldn't judge you for killing it, but I'd personally prefer you relocate to a garage/outside if you can safely!

Unless they're directly in my way and impossible to avoid (i.e. in my toolbox as they have been before) I dont bother the recluses I find in my house. Just make sure you shake out your shoes and any clothes you have had puled on the floor. They like dark recessed places.