If you are eligeable get USAA, you would have to have had a parent in the military or some military service of your own. Aside from that I would just call 2 or 3 and pick one. All State, State Farm. Renters insurance is not very expensive. Renters insurance just covers your furniture, clothing, maybe food in your fridge if there is a big power outage if it is really comprehensive. You will want to find out if it covers you in case of a flood? Flood from a storm or from water pipes. Also, it probably will only cover up to $1000 worth of jewelry, you need seperate jewelry insurance if you have some rings and watches worth lots more. Also, there is a difference between being covered for what your stuff is worth and what it will cost to replace. Get replacement coverage.
I have only had renters insurance once, so I don’t remember well what it covered, but when you call a few companies have a list of questions ready and they will help you. They will also tell you stuff you might not have even thought of. And, hopefully more people with more knowledge will answer here.
Take pictures of all of your stuff.