Washable hand fans are made to stay with you...in a bag or purse. That's why they come with a coordinating vinyl sleeve. Just fold/roll/gather the fan when you don't need it for the moment and slide it in the sleeve.
Since vinyl tends to sick together sometimes, the top part of the sleeve is fabric so it can be opened easily. The vinyl will help keep the fan from getting too dirty but, remember when does get dirty you can just pop it in the wash!