I wish you would have asked me this last weekend when I could have just walked you through my kit but oh well.
First off you need something to store all your stuff in. I have found
this storage box to be a good one for me. It is also about the size of a 50 cal ammo can. Next off you will want to lubricate your breechplug so that it does not seize up. If you have some anti-seize that you use on your choke tubes on your shotty that'll work or else I have had good success with
TC gorilla grease. Then you will want to choose your powder, I suggest blackhorn 209 as its the easiest to clean up but if not that then probably triple seven. Then choose your bullets and sabots (some come as a combo, some do not). Modern Muzzleloading products has a great selection and pricing of sabots if you go the choose your own route. I also have 2 or 3 of their different types from when I was figuring out which ones I wanted to run. You will need 209 primers also. Next you will need something to hold your reloads in the field. I use something that also has a short starter built in (more on that in a minute) but most of the items on
this page will work also. You will also want a short (or ball) starter to get the bullet a little ways down the barrel so that you can then use your ramrod the rest of the way. I also suggest a palm saver to make it more comfortable to do push your bullet and ramrod down and use
this one which can also double as a cap holder. Depending on your dexterity and your muzzleloader you may also need a more specialized tool to get the caps on and/or off the nipple of the breechplug, my dad does my brother and I both do not and we all shoot the same gun. I would also suggest a powder measure and small flask if you are running loose powder, if you are running pellets then no need.
For cleaning:
I use the same cleaning rod I use on my shotgun, just have different swabs, brushes and patches.
Some blackpowder solvent. I run triple seven powder and use the triple seven branded solvents and they seem to work well. The hardest part of the clean up is the first couple of inches in front of the breech plug on my gun. I also use compressed air to blow out the breech plug to make sure the hole is clean. Afterwards I use the same type of oil I use in my other firearms to store it till the next time and then I run a dry patch down before I leave for hunting.
Hope that helps.