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I would, and separate them. If this is a Pygmy species, Then container care will be a little more straightforward. If this is a standard species, then it is going to take quite a bit of work to keep it happy in container.

Here are some general care tips for your palm:

Provide your indoor date palm with bright, indirect light and temperatures between 60-85°F (15-30°C). Water your palm when the top inch of soil feels dry, ensuring proper drainage to prevent waterlogging. Fertilize monthly during the growing season with a balanced, water-soluble fertilizer. Prune yellow leaves and remove dead or damaged fronds.

Root pruning is essential for container-grown date palms. Prune the roots every two years or when the plant becomes root-bound. To do this, carefully remove the plant from its container, and use pruning shears or a sharp knife to trim the roots back by about one-third. Repot the palm in fresh, well-draining soil and return it to its indoor environment. Regularly monitor the plant's health and adjust its care routine as needed to maintain optimal growth and appearance.

https://www.gardeningknowhow.com/houseplants/pygmy-palm/grow-pygmy-palm-trees.htm

https://www.gardeningknowhow.com/edible/fruits/date/date-palm-tree-care.htm

Those three seasons the sun is not as strong coming in the window so the plants probably are fine with or without the UV screen.

You can leave the lights on from 16-18 hours a day during the daytime and into the evening. Many plants need six hours of darkness.

The fuchsias need consistent moisture. Make sure they are getting enough moisture and humidity but do not let them sit in water. Mine do well under a tree which is considered dappled shade. They don't like it hot, they prefer cool weather. This article should help:

https://www.gardeningknowhow.com/ornamental/flowers/fuchsia/growing-fuchsia-flower.htm

Here is information on pruning kiwi vines:

https://www.gardeningknowhow.com/edible/fruits/kiwi/pruning-kiwi-vines.htm

https://www.gardeningknowhow.com/edible/fruits/kiwi/pruning-overgrown-kiwi-vines.htm