I put a few pieces of tissue down the middle of the quilt top, then fold and store on a shelf. The tissue seems to really help with wrinkles.

That's what I do.

I almost always give the quilt tops a quick press before I long arm them. It makes my job easier. I have 2 ironing boards I abut end to end for a long pressing surface. I also have a Euro Steam iron that NEVER spits and I can control the steam output limitlessly. The iron surface does not have a heating feature other than what comes from the steam.

We have an open stairway with a railing upstairs. Mine lay over that railing!

I hang my tops that have not been quilted this way too in a closet.

I have many pieced waiting to be quilted...they are folded with their binding fabric piece or some are stripped already, tucked in the fold.....in a bin....when I am ready to L/A or h/q, I will take out, iron, put up and go! If there is a special backing fab I want with it that too gets tucked in with it....or else I will back with good muslin.......