FELTS & STRAW:
Store your hat in a hat box and stuff the crown with tissue paper so that the brim is supported, so that the weight of the hat does not distort the brim over time. Hats can also be hung on a hook or hat rack but turn them periodically to avoid the buildup of dust.
Avoid pinching the crown at the front to maintain the shape, try to take the hat on and off the brim. Felt and blocked straw hats can be cleaned with a soft brush or lint roller. Felt and straw hats should generally not be cleaned by anyone but a hat maker.