type of grass
A zoysia lawn is beautiful and low maintenance, requiring infrequent mowing and keeping weeds choked out.
In the winter it turns completely brown, looking like a brown carpet.
It doesn't do well in some climates and is susceptable to certain pests. It also spreads relatively slowly, so unless you sod (which is very expensive) your plugs will literally take years to grow together and make a lawn.
Weeds grow in the zoysia just as much as in fescue -- you just have to pull 'em or hit 'em with weed-killer.
Unless no one around you has grass, you're better off fixing your allergies with medicine, not a different type of grass.