Most of my fabtics are fairly smooth after washing - whether dried in a dryer or line dried.
The only times I have had seriously wrinkled fabric were when the fabrics got tangled or twisted in the dryer -either ery skinny strips or very long lengths. The solution to that is to check every so often and straighten the fabtic out. The other causes are poor quality fabric or " cooking" the fsbric with overly high dryer heat
I would say that I can hand press over 95% of the fabrics to be smooth enough to fold and put away until ready to use. As others have said, no need to iron the fabric twice.
As far as when to wash it - for me, anytime before I cut it.
Last edited by bearisgray; 01-29-2015 at 04:19 PM.