Teacup, once your bulbs have finished blooming, and the foliage has had time to replenish the bulbs for next years bloom cycle, the leaves will start yellowing. That is the best time to dig them- while there is still some foliage attached and you can see where to dig (and avoid slicing into the bulbs). Once the yellowing starts, keep a close eye out- they disappear quickly. Here that happens in June for Daffodils, and a little earlier for other bulbs- probably a few weeks earlier in your neck of the woods.
After digging you can either go ahead and replant the bulbs, or store them in a dry place and replant in fall.
Kat, you're so welcome! Are you growing any bulb plants presently?