For me, every situation is different, and in a constant state of evolution.
Mostly, I don't write on 2x2's. Or any of my other holders. It's a historical preseveration/chain of evidence thing.
I like labels. Avery is good. Available at chain stores or garage sales.
I have many collections, use many holders and organize them in different ways. Labels fit them all.

One early purchase got removed from a 2x2 and put into a Snap-tite. I put a label on the new holder, and rubber band the the old 2x2 to the snap-tite.

For one of my more refined collections, I have an actual system.

Top: Date and mint,
TPG, Grade
Mid: VAM#, Interest and Rarity, SSDC score
Bot: Purchased from, date, Price.
If you just put a coin in a 2x2, you might want to put your info on a label. Especially if you might dispose of it later. You can peel off the label and have a pristine 2x2 to write on for
ebay or the coin show.
It shouldn't be hard for others to show an improvement on my methods, but maybe this gives you a few ideas.