You need a floor covering with tent greenhouses, or the grass will soon be higher than your plants! Last year I used black weed barrier, but this year I had what I thought was the great idea to use tarps, which I would keep filled with water for extra humidity.
With every positive idea, there are always negatives. The problem with the tarps full of water was that every time I went inside I got wet feet. I could more easily live with that issue than the monster crop of mosquitoes that would hatch in these indoor ponds! They would quickly eat you alive. I finally had to put mosquito control into the water and periodically sweep the water out.