Certified GKH Gardening Expert
Yes, as long as the ground is still workable where you are, I would go ahead and dig them up to store over winter. This article will help with storing them: https://www.gardeningknowhow.com/ornamental/bulbs/bgen/how-to-store-bulbs-that-have-sprouted.htm
It should also help with the overcrowding. Simply divide them up and replant elsewhere next season. This should help with blooming. You may want to add a bit of phosphorus to the soil as well.