Asked the friend who did this: You need a large supply of Redstone, Leather, and Iron to do this and will want a supply of Glow Ink Sacs to light it up. This is because you’ll need a Compass for every map and an Item Frame to put it on the wall (and the Glow Ink will make it self-illuminating). Further when you set out to do the mapping ensure that you only have one blank map on your hotbar at a time to prevent waste of resources.

For my own part: If you have access to villagers and an easy/efficient means of getting Emeralds you can buy blank maps from a Cartographer, eliminating the need for Redstone and Iron. However you’ll still need leather and optionally Glow Ink Sacs. Additionally when they were doing the exploring they did it on foot bringing a boat with them for when there was water but not a horse. Once we had an industrial supply of Ender Pearls they brought a stack with them on their expeditions which seemed to make them significantly faster as well.

If you need a guide on the how-tos of maps I’ve found this one that’s pretty good: https://www.youtube.com/watch?v=pKKRUqF5PAs