Like others, I pre-wash. I have allergies and develop a cough if I don't. Washer/dryer, just as I expect the quilt will be washed, so hopefully, no further shrinking. To be honest, I use good fabric and I've yet to have significant shrinking except with flannel. I hand press out of the dryer, then iron and press with starch before cutting. It gives the fabric a bit more body and makes it easier to work with.
Welcome to the board.