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I'm not clear of the type of plant that your are having issues with.

Generally yellowing leaves can indicate a few things; watering issues, insects, improper light conditions.

Since the plants were recently moved this can lead to stress.

If you clarify the type of plant we may be able to have more specific plant growing information.

This description could be insects and or fungus issues.

Generally infected material should be trimmed away and disposed of.

Neem Oil is a good treatment as is works as both an insecticide and fungicide.

It is also safe for people, pets and bees.

https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm

The weight of the grass will naturally fall if it becomes to tall. You can trim the grass to a more manageable height.

Here are some links for you.

https://www.gardeningknowhow.com/houseplants/grass/grow-a-grass-houseplant-growing-grass-indoors.htm
https://www.gardeningknowhow.com/houseplants/grass/types-of-indoor-grass-plants.htm

Not knowing how many or the size of these plants, I can offer a few hints. It's best that the cover not touch the plant/leaves as condensation can collect at the top of the cover and possibly freeze the leaves that touch it. If it's too large to cover, protect the roots and lower stem with bags of mulch laid unopened on the soil and around as much of the lower stem as possible. I've seen people wrap LIT Christmas trees lights in the foliage to provide a little warmth. It's best to ask your Agrilife extension office, every state has one and they often have Master Gardener hotlines to answer any and all horticulture related questions with the best answer for your area. Google: Agrilife extension (your state name and your county name). Good luck

Always cover or bring indoors your plants that are tropicals or houseplants when the temperatures began to drop.

Covering with a sheet will help protect them, but remember to uncover when the temperatures warm during the day.

I'm not sure of the type of plant you are referring to.

Can you give more detail and we would love to help.