put down landscape paper? I want to cover it all with mulch I but I wasn't sure if I could put the whole works over my existing grass to kill it. i'd love to know an EASY way, my grass allergies are killing me!!

yea, you can. I did that for my children's play area. First you will need to mow it really low then put down the weed barrier and follow up by mulching heavily on top. Occasionally you will find some grass trying to creep in but all you will need to do is pluck it out. Good Luck.

Spray it with glyphosate (round up) at the labeled rate for perennial grass.

you could rent a machine that will strip the sod and possibly sell the sod to a landscaper...