If you're printing artwork files at home, you might be unsure what paper to use. I'd like to try to help you. I will also add a note about vegan-friendly paper options as that's one of the reasons why I don't print with print on demand companies.

First of all, you can pretty much print on any paper, it only depends on how professional you want to results to look. More gsm means denser, "heavier" paper. Think what you'd use for a greeting card (cardstock), rather than a letter or regular paperwork (standard copy paper).

Home printers are usually ok with printing on cardstock providing it's not extremely high gsm. The abbreviation means grams per metre square - hence more grams means it's more heavy and dense but also thicker. And some home printers would struggle with too thick paper.

Just to compare, the usual copy paper is often 80 gsm. A good cardstock can be around 300 gsm. A very basic regular printer should be ok with printing on 200 gsm paper. This is a good compromise for a good looking print if you're unsure and don't want to get the paper stuck halfway in the printer.
You can always check your printer - the brand and specific model - and ask online in a forum dedicated to your printer brand or find the printer's website and ask the tech or customer support.

Does the paper need any coating? Generally, no. Printing on uncoated paper gives a great result, it's more natural (in the way of how it's manufactured) and it's easier to enjoy the artwork as it doesn't shine and reflects back. Also, not every home printer would print well on paper with a gloss-like finish.

Are you choosing a coloured paper? It's a great way to give the artwork an extra personal feel if you print on a little bit more fancy paper than just white. Coloured paper, kraft-like brown paper,... all are great choices that only you can judge how great it would look in your home with your current or intended colour scheme or theme.
Just keep in mind that home printers don't print white colour, so if you have an artwork with white colour that matters and it's part of the art, all that's white will be basically not printed, so it will turn out to be the colour of the paper. Just a friendly warning =) The results in most cases can be actually great, so feel free to experiment with coloured and other types of non-white paper. It's your home, you print it the way you want.

Now, as I promised, a word about vegan-friendly paper.
Vegan paper, is that really a thing? Some paper is made with animal products and that makes it not suitable for vegans because vegans tend to not use any products (be it food or not) that have animal ingredients. One of the usual issues is paper sized with gelatin. This is used for watercolour paper to help the watercolours not sink directly into the paper. There are easy to find vegan-friendly watercolour papers when you search online. I use vegan-friendly paper for my watercolour art (as well as vegan-friendly watercolours but that's a different topic, let's keep it paper-only for now).
Other common non-vegan ingredients in paper products (not only for printing) can be animal-based glue, beeswax, animal-based tallow, and the list goes on.
This may look overwhelming if you want to keep your home vegan-friendly like I do. But it can be quite simple, just search for vegan-friendly paper. Manufacturers would know what their paper contains and would advise you if you ask. Some already state whether their products are vegan-friendly.