lifting and storing crocus bulbs in March

I have limited room in a school garden, crocuses have been planted in a bed with some daffodils but over the next few weeks I want to plant the bed with vegetables, can the bulbs be lifted and stored for next year, or should I plant the veg in with them? If the crocuses are left in the bed will they completely take over in a few years and leave no room for veg? Should I be trying to mix a flower bed and vegetables at all?