I have about a 20x20 area in my bermuda grass that has weeds. Here are my plans. I plan on taking my trimmer and take the area down to the soil, rake up the clipping and take the rake and break up the soil about 1 1/2 inches deep. Spread lawn starter fertilizer 18-24-6 and rake it into the soil then spread my grass seed and rake it in also (about 1/4 deep). But will this also help the weeds grow with the grass? Will the grass take over the weeds?What should I do? Should I round up the area first and then seed? What would you do? Trying not to spend a lot of money.