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You will need to let them enter dormancy until next spring. This will allow them to regenerate to bloom again. This article will give you more information: https://www.gardeningknowhow.com/ornamental/bulbs/grape-hyacinth/muscari-care-after-blooming.htm

The best time is during dormancy, to avoid disrupting the plant's natural cycle. This article will help: https://www.gardeningknowhow.com/ornamental/bulbs/grape-hyacinth/digging-grape-hyacinths.htm

Hyacinths are called spring ephemerals. Like daffodils, tulips and many other early spring bulbs, the leaves remain long enough to replenish the bulb's energy and then the plant goes dormant until next spring. Removing the worn blooms (dead-heading) is recommended as it takes lots of energy to make seed resulting in less available energy to nourish/re-build the bulb. So gradual yellowing is normal as the plant enters dormancy.

This is fine, and normal for most plants, though it may need more light. It will stretch, just give it time. Here is an article for their care: https://www.gardeningknowhow.com/ornamental/bulbs/hyacinth/planting-and-care-of-hyacinths.htm

You can plant them, you will just want to do this before it gets hot. They really like a dormancy period after each year, so they won't do as well in your area, but you can do this yourself using your refrigerator to simulate a winter.

Here are three articles that will help:

https://www.gardeningknowhow.com/ornamental/bulbs/hyacinth/care-for-hyacinth-houseplants.htm
https://www.gardeningknowhow.com/ornamental/bulbs/hyacinth/planting-and-care-of-hyacinths.htm
https://www.gardeningknowhow.com/ornamental/bulbs/grape-hyacinth/growing-grape-hyacinth-indoors-forcing-grape-hyacinth-over-winter.htm

These are cold hardy bulbs. They should be planted in early October in your area, so that they can make use of the cold. They will, naturally, be coming about at about this time each year. You can plant them now, but they do better when they are planted in Autumn.

This article will help: https://www.gardeningknowhow.com/ornamental/bulbs/hyacinth/planting-and-care-of-hyacinths.htm