Stubb's, Wicked Good, Kingsford Competition, and any brand made by the Original Charcoal Company such as Rancher, Trader Joes and others. Look at the list of ingredients as you are looking for just Hardwood and a binder of some type to hold it together. Two ingredients are enough.
The burn time for lump would depend on the temp you plan to run, the load or amount of meat you are cooking, and if you are using the cooker wet or dry. Probably in the range of 4-1/2 to 7 hours before you would need to add additional fuel and or water.