A hat!
Though some people have their own tricks on how they like to reblock a hat, when I do so, I remove everything, including the sweatband. (Some folks will reblock a hat with the sweat still in, but this generally requires a block one size smaller to account for the sweatband.)
Here's what I have on hand when I do a reblock:
The hat!
hat block
cord used to keep the hat on the block at the brim break
iron and ironing cloth (a white t-shirt works for me)
spray bottle
hat flange
needle and thread to reattach the sweat and ribbon
After I disassemble the hat, I soak it completely (and wait a while for the water to totally soak through) then I stretch the hat over the hat block. When I'm sure the hat is all the way on the block smooth and tight, I tie the cord around the brim break tightly to keep the hat from rising up the block as it dries.
I usually leave the hat on the block for a couple days, but definitely wait until it's dry. I use the spray bottle to spray cold water on the hat, and with the cloth over it, I iron the hat on the block. The heat helps tighten up the hat to the block. Sometimes after I iron, I'll leave it sit a while.
When ready, I carefully remove the hat from the block, resew in the sweat and ribbon, and then I iron the brim on the brim flange (always ironing with the cloth over the felt. When done, I crease the hat and wear it!
