If you fold the fabric you don't have trouble with it getting wrinkled again. When I was working on dd's quilt I started by throwing all the fabric in a bag, but a cup of water spilled in there so I put it all in the dryer to dry, and then gently laid it in the basket I'd been keeping the fabrics in and it was WAY easier, to smooth out the fabrics.
The only two cents I have about steam which might only mean a penny to someone knowing more than me, is that you have to be very careful when peicing that the fabric is completely dry before putting it in the sewing machine. Sewing machines do not like even a little damp fabric and they wont sew properly. In my case the bobbin thread wont catch if the material is a tiny bit damp.
The other thought I had while typing is that before you put fabric away in storage or in a plastic bag to take to the longarmer, you need to be 100% sure it's completely dry or else the little bit of dampness would cause mildew, yuck.