I recommend a case like this one. You can look at this Reddit post to see how it looks. I think this case is great for holding your stylus and back up ones as well. It aslo fits the nibs and charing cable.

Here is the link to where you can buy. It comes in three color options. https://www.amazon.com/dp/B07N1JBGBB/ref=cm_sw_r_cp_apa_fabc_O4QZFbR1ZVA7C?_encoding=UTF8&psc=1

Yes. I use this one to carry all my styluses. You can see here in this post how I use it. But there are cases for the tablet that have space for one stylus like this one and this one