I use my basement floor and wear knee pads for ironing Hobbs 80/20 fusible quilt batt. If you have tables big enough and the quilts were smaller, it would be easier. You would need to protect the table top as you will be using a hot iron. You lay the backing down first, quilt batt(wadding) and smooth it out and smooth the quilt top on top. Working from the middle, iron outward until the top is all fused. I use safety pins around the edge before flipping it over to iron the back in the same manner.
I like ironing the back last so that it is ironed perfectly with now wrinkles. I sometimes have to peel up the edges and re- iron if the back advances a little as I iron.