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Keep it indoors and in light for now. The foliage may die back, but that is ok. Here is an article that will help you:
https://www.gardeningknowhow.com/ornamental/bulbs/bgen/how-to-plant-a-flower-bulb-in-your-garden-after-winter-forcing.htm

Do you live in a warm region? In warmer areas, sometimes spring bulbs, like daffodils, do not get enough cold temperatures to be able to form a bud. They need 6-8 weeks of temps below 40F in order to form a bud and then flower in the spring. It may be that this year they did not get enough cold weather. Here is more information:
https://www.gardeningknowhow.com/ornamental/bulbs/bgen/how-to-plant-bulbs-in-the-south.htm

If you feel this is not the case, the other possibility is that the ground is lacking phosphorus. Without phosphorus, the bulbs cannot form a bud as well. Here is more information on that:
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/phosphorus-plant-growth.htm

Fall is the best time to do this. You can move them in the spring, but their blooms suffer for it. This article will explain how to plant them:
https://www.gardeningknowhow.com/ornamental/bulbs/daffodil/daffodil-planting-care-tips-how-to-plant-daffodils-in-your-garden.htm

If you are moving them this spring, leave the leaves on.

This article should help you with that: https://www.gardeningknowhow.com/ornamental/bulbs/bgen/how-to-plant-a-flower-bulb-in-your-garden-after-winter-forcing.htm

This article will help you:
https://www.gardeningknowhow.com/ornamental/bulbs/bgen/how-to-plant-a-flower-bulb-in-your-garden-after-winter-forcing.htm

Actually, daffodils do really well in tree shaded areas. Typically, a tree shaded area gets significantly more sun in the spring than it does in summer and fall because the branches have not leafed out. There should be more than enough sun in spring for the daffodils to live.