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Tulips do not always respond well to forcing and then planting outside, but it is worth trying. 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

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

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

You can, but tulips do not plant well out into the garden. It is worth a try though. Here is more information on doing that:
https://www.gardeningknowhow.com/ornamental/bulbs/bgen/how-to-plant-a-flower-bulb-in-your-garden-after-winter-forcing.htm

They are best moved in the fall. But, if you need to move them now, you can. Just realize that they may not bloom this year if you move them in the spring.

They should stay in the ground during the summer (they like hot, dry soil in the summer) but they do need to be chilled in the winter. In the fall, dig them up and store them in the vegetable drawer of a fridge for at least 6 weeks. Then you can plant them back out again.