Don't you have any storage space? Then ask her if she wants it.
On the kids: Take charge. Stop relying on her. You may have to prove in court at some point that you are a responsible parent who can take care of the kids. She doesn't seem to think you are.
Get the school supply list and find out from W what they have. Not what they need, because you'll figure that out from the list that you get from the school, but what on the list she already got them. Send her an e-mail about this so you have documentation of your ability to think for yourself and figure out how to take care of their needs.
Get them what they need at your house so you don't depend on her sending clothes with them to you. after all, they're not 'visiting'. It's their home that they are coming home to.
M 16 yrs, WH62, P54 3 adult blended kids EA 11/13, BD1 6/14 PA fall 14, BD2 2/15 Piecing 2015, BD3 12/15 Separated 4/16 WH moved OW in 5/16 Divorced 6/15/17