You're going to need a flask, .310 round balls, patch materials, lubed or spit if you prefer and precut or use a knife after starting. I have done some research and don't think there's anyone making .311 maxi's or conicals now. Closest I've seen is some conicals from Dixie gun works, but I don't believe they are in production any more, as the company doesn't list them on their page. Here's the links for the balls and conicals:
http://www.dixiegunworks.com/product_info.php?cPath=22_99_311_313&products_id=3628
http://www.octobercountry.com/products3.php?productid=32
You'll probably also want to get a capper for your percussion caps, because opening those little tins in the cold stinks. 8( I personally like speed loaders, but I don't know of anyone making a .32 cal version. You might purchase a small length of 1/2" pvc pipe and use two pvc end caps each to make your own. The black PVC is slightly thinner wall and may work better and I think it's more flexible also. You'll want an adjustable powder measure also and some good cleaning gear. I use dawn dish soap to clean my barrel once I get back from shooting the gun. Just knock out the pin locking the barrel down and lift the barrel up and to the rear after removing the ramrod. Traditions does make a little pin puller, but I haven't had an issue using the radiused edge of my swisstech tool and I use the little flat blade to pull it out once it's started. You might want to buy one for 2 bucks though.

Finally, you'll want a ball starter and I use a range rod to keep the one on the gun from getting worn out when shooting at a bench. TC makes a decent cleaning kit available at Wallyworld which doubles as a range rod, but they don't make it for .32 cal, so you will have to probably purchase different brushes and mops for cleaning as well as a jag for a .32 if you can find one. Lacking that, Traditions sells several different configurations of range rod and jags as well. Other than that, powder is probably most important. If you can get real BP, might want to go that way with FFFg for the small diameter balls. You will have nearly identical power and luck with Pyrodex P FFFg. There is also 777, but I've never used it in the small calibers, so maybe someone else has had experience with it. It does leave a crud ring so you need to clean after a couple shots in my experience or accuracy drops. One last thing might be a loading block. If you don't want to make your own speed loaders, you can tie one of these to your possibles bag strap and it will be easier than picking a ball and patch and loading manually in the cold.
http://www.trackofthewolf.com/Categories/TableList.aspx?catID=1&subID=193&styleID=978