Those small blue flowers are on the henbit weed, a cool-season annual. Henbit also makes larger purple flowers. Henbit and chickweed got their names because chickens like to eat them. Yum, yum. Henbit is a mint and it has square-shaped stems, although I can't really tell that the stems are square when I look at them, just like it's hard for me to tell that sedges have triangluar stems, and I have good eyesight I think. Henbit will die as the temperature climbs. Before it dies and after the flowers show up, it will release seeds to try and grow back next year. This weed is easy to pull out of the ground. Not sure but I think the seeds might be found in small structures called nutlets that the plant produces. The nutlets are spherical things that are usually about 2 or 3 millimeters long. Sometimes I see them close to the ground. Henbit is prolific. Lots and lots of henbit. But on the positive side, it is easy to hand pull.

Im in fort myers and just went with an empire turf lawn and love it. Here are questions to ask. Are you going to be running irrigation, if not, do not grow bermuda or St aug. Bahia will grow very well with no irrigation, you need to seed Bahia by June. Soon as the rainy season starts. Are you going to have a dog or lots of traffic on the lawn? If you have this, St aug is out, cant handle traffic. Bermuda, Empire or Bahia will do good, bermuda being the best for traffic. Are you going to fertilize and use herbicide. If not, go with Empire or Bahia, they need little fertilizer to none. Like I said, I went with Empire turf (zoysia). Its bread to thrive it wet hot summers. I have irrigation for the dry months. You only need to fertilize 3 times a year. The thing I do not like about St Aug (also called flortam down here) its very course and rough. You can only use one weed killer and if that does not work then your stuck with weeds to pull by hand. Empire can handle almost all weed killers, even low concentration of roundup. Long post, I know. I would spray the entire yard with round up (get a generic online, 30 bucks for a gallon of concentrated, 41%, Ill post a link). Get a dial sprayer for 10 bucks at a store, and apply. This will kill all grass and weeds so your left with sand. Now, wait two weeks and either seed or sod the yard with your choice of grass. Done. Thats my 2c.

Any chance of deciding that the clover is something desirable? I bought some clover for my lawn (in my case, it was strawberry clover, which looks a lot like white clover but does better in my alkaline soil). Clover adds nitrogen from the atmosphere and is drought tolerant. If you really want to kill it, something that will kill all the plants will probably work, but there are probably seeds already, so you may want to kill it, then water daily for a week or so to get the existing seeds to sprout, then kill again. I would not turn the soil over or bring in new soil. There's no way to know what weeds are under the surface or in the soli you might buy.

Excellent feedback. Now we know you're not shooting for yard of the month. You just want to keep the mud out of the house. Shade can be an issue. Tall trees are not always good trees. People often plant a fast growing tree not thinking 20 years down the road. For example in my picture there's a telephone pole, crape myrtle, two mesquite trees, and another crape myrtle further in the distance. I've had the two (ugly) mesquite trees removed to allow the more attractive crape myrtle to flourish. There's a pear tree in the middle of the yard which would be gone if it did not produce tons of pears every summer. This is to say, evaluate your trees to see if they need to be thinned, reshaped, or removed. If you find that your soil is too bumpy to mow, you will need to level it. If it is pretty bad (hard to tell from the picture), then you would need a landscaper to come in with a tractor and a box blade. You're on quite a slope so I would have them look at the drainage in back to ensure you don't flood your basement. On flat land this is a 1-morning job, but for your lot it might take a full day. Depending on the activity level of your dogs, you might not be able to grow grass. Too often people come here asking what grass they need for their two, 1-year old labs in a shady lawn. Well, there isn't any shade grass for active puppies. I usually suggest 2 inches of chipped tree mulch. I haven't heard back from anyone, but that's the kind of mulch they use in our local dog park. They do it 15 inches deep.