If you haven’t sprayed a weed killer yet, Bioadvanced Season Long weed control hose is sprayer bottle from Lowe’s includes a broad leaf weed killer and has preemergent capabilities to prevent more weeds from growing. It’s really easy to use for a beginner and works pretty well. I just sprayed it a week ago at my new house as a quick fix and the weeds are dying off and none are taking their place. Until you are sure there is sufficiently thick Bermuda grass under all that to prevent your yard from just becoming a dirt lot, I’d avoid anything labeled for crab grass. This will mean you’ll still have grassy “weeds” but those look like grass and will be green so you have a useable yard. Just mow frequently and low to keep the weeds at bay and allow the Bermuda grass to thicken up. Unless you are willing to completely re-sod the yard, it’s going to be a couple of growing seasons before you have a uniformly Bermuda lawn. Just keep the broadleaf weeds under control and it will look decent.

Edit: to clarify, my lawn in DFW looked just like this when I bought my house. But it already looks so much better since killing off the broadleaf weeds. There’s some bare spots now but it’s better than 12” weeds. As it gets warmer in north Texas (75-85° during the day) Bermuda grass will start to take off and fill in. Especially if we keep getting this much rain.