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If they have experienced their cold period in the fridge for months now, they should be ready for planting now. This article should help
https://www.gardeningknowhow.com/ornamental/bulbs/daffodil/growing-daffodils-indoors-forcing-daffodils-into-bloom.htm

Depending on your location, these are likely to survive. They can tolerate temperatures all the way down to zone 3. They are extremely cold tolerant. If you are still worried about them, then it would be ok to mulch them.

This link will take you to a collection of articles for more information on daffodils

Forcing bulbs indoors requires a pretreatment with cold temperatures. If you just purchased the bulbs, ask the store if pretreatment was already done. If you are forcing paperwhites, check this webpage: https://www.gardeningknowhow.com/ornamental/bulbs/paperwhites/forcingpaperwhitebulbs.
If another type of narcissus, check here: htmhttps://www.extension.umn.edu/garden/yard-garden/houseplants/forcing-bulbs-for-indoor-beauty-in-winter/

If you are able to wait until the flowers have faded, then dig up the bulbs and replant them in your new garden as soon as possible, they might survive, as explained here:
http://www.simplegiftsfarm.com/moving-flower-bulbs.html

If you can't plant them right away, I think you are better off leaving the bulbs at your old home and buying new ones to plant in the fall. They likely wouldn't survive being stored in their current state.

There are so many reasons why this could happen. This article will help you narrow down the reason: https://www.gardeningknowhow.com/ornamental/bulbs/daffodil/daffodils-not-blooming.htm

You will want to wait until they go dormant again. Moving them now will damage the roots, and possibly kill them. This link will give you more information: https://www.gardeningknowhow.com/ornamental/bulbs/daffodil/dividing-daffodil-bulbs.htm