Simply to make your M1 "Correct" you might want to buy a butt stock cleaning kit.
This was the M1 4 section M10 cleaning rod, , a rod loop tip, and a bore brush in a canvas tube that was put in the top hole.
Added after the canvas tube was a tiny plastic jar of lithium grease.
In the bottom hole you could put a M3-A1 Combination Tool OR an amber plastic long tube in which the M10 Combination tool/handle wen in the lower part and the top part was full of oil.
A later short plastic tube was filled with grease in one compartment, but this was more for the M14 rifle.
In any case, you really need to have an M3-A1 Combination tool. This is used to do everything on the M1 from scrubbing the chamber to disassembling the bolt IN or OUT of the rifle, adjusting and tensioning the rear sight, and disassembling the gas cylinder lock screw.
You can buy the M10 kit and the M3-A1 Combination Tool from several sources, but Fulton has the legit USGI items.....
https://www.fulton-armory.com/combotoolm10.aspx
https://www.fulton-armory.com/combotoolwchamberbrushm3a1.aspx This is a "must have" for the M1.
A support wrench for the gas cylinder is nice to have as it prevents damaging the barrel or gas cylinder splines when removing or installing a tight gas cylinder lock screw. Cheap insurance.
https://www.fulton-armory.com/gascylinderwrenchgarand.aspx
https://www.fulton-armory.com/cleaning-rod-section-30-cal.aspx Need 4 sections.
https://www.fulton-armory.com/cleaning-rod-case.aspx
https://www.fulton-armory.com/oilerwwiitypelongplasticnew.aspx Replica but good.
https://www.fulton-armory.com/oilerwwiitypelongplasticnew-1.aspx New USGI. They also have USGI used.
Use the butt stock cleaning gear ONLY in the field or for emergencies. The jointed rods never match up perfectly and a sharp edge can ruin a muzzle.
To actually clean your M1 you'll need the following.....
A stainless steel Service Rifle length rod.
This is a polished one-piece stainless rod the correct length to clean an M1. Dewey seems to be the most popular, but some shooters are buying better grade carbon fiber rods because they're either perfectly straight or they're broken.
The correct rod is the 24HSS....
https://www.brownells.com/gun-clean.../cleaning-rods-amp-accessories/cleaning-rods/stainless-steel-rods-prod5635.aspx
Coated rods are falling from favor because the coating tends to scrape off and you have to buy a new rod.
DO NOT buy a brass or aluminum rod.
This is counter-intuitive..... you'd think the softer rods would do less damage, but grit can embed in the soft metal and scratch the muzzle or bore. That can't happen with hardened stainless.
A muzzle guide/protector.
These are a brass protector that's slipped over the rod and pushed into the muzzle to center the rod and protect the muzzle crown.
You can also buy protectors that slip over the muzzle. This type is easiest to use and safer for the muzzle.
https://www.brownells.com/gun-clean...leaning-rods-amp-accessories/cleaning-rod-guides/m1-muzzle-buddy-prod44065.aspx
https://www.brownells.com/gun-clean...s/cleaning-rods-amp-accessories/muzzle-guides/brass-muzzle-guide-prod32992.aspx
A cleaning rod tip.
Many Match shooters use the Parker-Hale type "toothed" patch holder that you wrap a patch around length-wise. These make much better contact with the bore.
You need the male threaded type that screws into the Dewey rod female threads
https://www.brownells.com/gun-clean...ng-rods-amp-accessories/cleaning-rod-jags/parker-hale-style-jags-prod32722.aspx
Patches and bore solvent of your choice.
M1's do tend to copper up so you may need a copper solvent to use with another solvent that removes carbon and powder fouling.
I usually used a good copper remover solvent and ordinary Hoppe's #9.
Ammo.
Warning... A lot of surplus ammo is corrosive primed. If in ANY doubt, flush the bore and chamber with hot water.
Warning #2... Use ONLY 30-06 ammo specifically loaded for the M1.
A lot of commercial ammo used powders that are an incorrect burn rate for the M1 and you can seriously damage the operating rod.
Most "military pack" commercial 30-06 is okay for the M1, especially Federal White Box.
If you're not sure about ammo, or you want to shoot commercial sporting ammo, buy a Schuster adjustable gas cylinder lock screw. With the Schuster you can shoot most anything.
To be safe for your M1 shoot only bullets less then 179 grain.
You can buy a Schuster gas nut from places like Champion's Choice.
GREASE.
Oil is used in the M1 to thinly coat the metal and prevent rust. GREASE is the lubricant.
You can buy expensive gun store greases, but the "correct" issue lubricants were Lubri-Plate 130 or Plasti-Lube.
Most M1 shooters just go to Walmart or any auto store or farm and home store and buy some Lithium grease.
That's what Lubri-Plate 130 is, but if you insist on spending more money....
https://www.brownells.com/gun-clean...oils-lubricants/lubricant-protectant-oils/130-a-mil-spec-grease-prod104311.aspx
For details on what to grease and full dissasembly and maintenance, you can see the USGI Ordnance and Field manuals on the M1 here......
Note the info at the top of the page on what username and password to use to get in.........
http://www.biggerhammer.net/manuals/