Both at home but work tends to be paper.
I use Google Calendar for personal stuff and will transfer it to the paper calendar on my fridge. I also use Google Keep for my passwords and logins-have a coloured section for each grouping.
I use Notes on my phone for certain things, such as Harlow's microchip, CKC number, etc., then I have a category called 'random shit I think of' It has well, all kinds of random things I think of like Barbie's Pantone pink is 219C, the bulletin board in my classroom is 8x4, and the best shutter speed for shooting birds is 1/2000. I also have one for home stuff such as the size filter I need for the furnace.
I do try to make a paper list for the grocery store though.
At work, I have a desktop calendar, a day book/binder and I use a notebook for meetings.
I have tried a planner and start out well but then just forget to use it. I have some pretty ones just collecting dust and with a few months untouched