I just recently moved into a house with a large lawn and I've noticed that there is a type of grass that seems to be littered throughout. Firstly, what type of grass is this and secondly how do I get rid of it?
When you pull a large piece out, does it have the nugget at the bottom? That thing is what will fight you for years. It requires diligence, but you CAN eradicate it.
My two-prong attack is to buy a bottle of nutsedge killer from the big box store for the first stage and use it up, spraying every week or so on the weeds. Then, walk the lawn once a week and hand-pull each sprout, leaving them on the lawn to then mow and mulch. The key is to slowly exhaust all the underground energy and the key to THAT is to not let each sprout get more than 3 or 4 leaves. I HATE that stuff.
Ha! I just looked at your photo again and saw the size of that lawn... You are going to have to go full chemical I assume? If so, there are some that work. I think Tenacity works on it.