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Depending on your growing zone--as long as you can dig a hole in the garden you can go ahead and plant them!
Another option is starting them in pots. You can keep them in a sunny location indoors and move out to the garden when your weather permits.

https://www.gardeningknowhow.com/ornamental/bulbs/daylily/growing-daylilies.htm

Day lilies have a light pleasing fragrance with some cultivators a stronger smell then others.

I would not cut the Day Lily's back now. Keep the newly transplanted plants watered in the first few weeks to ensure they become established and to reduce stress.

https://www.gardeningknowhow.com/garden-how-to/propagation/propgen/dividing-plants.htm
https://www.gardeningknowhow.com/ornamental/bulbs/daylily/growing-daylilies.htm

Daylillies are very hardy but if they are crispy they wont survive. I would soak in water in a bucket. When i divide mine they are extremely hardy and will last for a couple months in a bucket of water in the shade.

I believe this is a Day Lily plant.
The flowers are done now for this season, but the foliage should be left to die off naturally. This helps the plant store up energy for next seasons flowering.

This plant looks quite large and you may want to divide this plant in the spring.

Here are some link with more information.

https://www.gardeningknowhow.com/ornamental/bulbs/daylily/growing-daylilies.htm
https://www.gardeningknowhow.com/garden-how-to/propagation/propgen/dividing-plants.htm

Unfortunately, most herbicides -- even organic ones -- aren't the least bit prejudiced, and will kill everything they come into contact with. You can, however, selectively spray herbicide formulas onto the roots and/or plants that you DO want to kill. Clearing as much of the vines and larger, easy-to-uproot varieties by hand will make it even easier. This article may help you:

https://www.gardeningknowhow.com/plant-problems/weeds/using-organic-herbicides.htm