As runes are symbols, they bypass the left brain linear thought processes thereby allowing inner access to knowledge free from the judgements and preconceived notions we learn during our lives. Runes are most commonly stored in a drawstring pouch of some sort. You, however, are the only one who can decide if a particular fabric or pouch will work for you. Runes might also stored in fabric-lined boxes, plain wooden boxes, a folded cloth, pottery or bowl. Again, choose what works for you.
Some systems suggest casting, some drawing from the pouch for an intended layout.
If cast, you might be in need of a casting cloth, but your system will instruct you on that. Don't be misled by either well-meaning merchants locked into their own specific tradition nor shysters who are out there only to take your money. Choose the runic system, materials, methods, storage, and study specific to your needs. Explore the various systems and mediums available and make an informed decision. In order for runes to work for you, you must feel comfortable with them.