Drying and Cleaning Up
You can the X-ray film to dry or it you don't have the space for it. You can carefully blow dry the X-rays. If you do decide to use a blow dryer be sure to move between the two (2) sides of emulsion and direct the water to one corner of the sheet, this way it will dry with no streaks. If you find that it is streaky after hanging or blow drying you can soak the sheet again and repeat.
Once the film is hanging to dry (or is dry), dump and wash all the trays. Throw away any paper towels that were used.
Storage
After the film is dry, you can store it typical clear storage sleeves (can be found at an office supply store) and store in a binder box (both of these items can be found at photography online stores).