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You will have to be very careful not to break any roots, as this is risky transplanting them after they have started growing. This article will help you in planting: https://www.gardeningknowhow.com/ornamental/bulbs/tulips/tulips-care-and-tulip-planting-tips.htm

Depending on your location, this is the best time to start them. They require a bit of a cold period to flower properly, so keeping them under 40 for a few weeks will be necessary for them to sprout. This is usually the case in many areas at this time of year, so if this is the case in your area then you can go ahead and plant.

If it is above that temperature out, then you can still plant, but they not perform as well until next year.

Here is an article for more information on tulips: https://www.gardeningknowhow.com/ornamental/bulbs/tulips/tulips-care-and-tulip-planting-tips.htm

Bulbs that are forced indoors are usually tossed out. The bulbs are exhausted and may not recover. If it is a fancy hybrid tulip, it isn't worth trying to say them. If you want to give it a try anyway, pot the tulips up in potting mix with added superphosphate, fertilize and give them a week or 2 inside at a sunny window. Then harden them off and plant outside. If they recover, they still may not bloom next year, needing extra time to rebuild the bulb.

This only depends on your USDA zone. They can survive most places in the US without digging them up. I would also leave the flower until after it is done and wilted. This will help to not disrupt its natural cycle. This article will give you more information on growing tulips: https://www.gardeningknowhow.com/ornamental/bulbs/tulips/tulips-care-and-tulip-planting-tips.htm

If you want the tulips to bloom next year, leave them for the leaves to die down naturally. Flowering is very energy intensive and the bulb needs those weeks to rebuild / nourish the bulb. If you dig them up now, you might as well throw them in the compost which is what some people do. Another strategy is to plant something in front of them to disguise, but not entirely shade, the tulip leaves.

That is a seed pod! When it start to dry out completely, you can harvest these and plant them! This article will give you more useful information on the care of these: https://www.google.com/url?q=https://www.gardeningknowhow.com/ornamental/bulbs/tulips/tulips-care-and-tulip-planting-tips.htm&sa=U&ved=0ahUKEwi7hJWI0M7aAhVBvFMKHRgqArcQFggFMAA&client=internal-uds-cse&cx=009296322515861343460:jftykenwinc&usg=AOvVaw0dkTJlHpb2o7d_9ZU0_B--