After Dr says, "Good to go"

I would:
Buy a used bike in your general size for about $120 US, adjust it to fit fairly well, and ride it. Add full fenders with a long front flap, some highly visible lights - front and back would cost you about $35 US, reflective vest, and rain gear.

An 11 mile round trip is very minimal for an average person. I wouldn't even bother with a "fitting" at a bike shop. Most of the time you will only "re-fit" it yourself anyway. You'll soon be changing whatever bike you buy with respect to the saddle, tires and such. We all do it.

As to the type of bike: I recommend an old rigid frame MTB. Bombproof, and can be had for very little money. Plus they are extremely comfortable street bikes when adjusted and outfitted properly. One of those will get you in the door cheap, and you'll soon know if this is for you.