This moving from a rental to owning a home and having lawn care is certainly a learning experience... We're working to have a lawn of St. Augustine grass here in Southwest Florida. I've successfully helped out an area using plugs, but have much of the yard (probably around 40%) with areas where there grow up a few days after cutting. Are these weeds or a type of grass? I tried uploading an image to Google Image search but didn't get any help. Thanks!
Lawn Weed or Seed http://www.unkfrank.com/images/StackExchange/GrassWeedSeed.jpg