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I use RO lump for grilling(higher temperatures, less ash) and briquettes(consistent temperatures, more ash)/wood chunks for smoking.
The wood "cooking chunks" are used in addition to the charcoal to add flavor to the smoke. Personally, I've found the bagged chunks(from Lowes and HD), do not contain enough moisture and sometimes produces an acrid smoke. I've found my local tree service and local farms is a great source for smoking woods.
I used some stubbs briquettes when i got my akorn for grilling because its what i had but food always seemed strongly of smoke, finally tried lump like they recommend and had much better result. Have not tried smoking in it yet..hopefullly will in the next couple of weeks though.
I have not used the bags of stuff they were selling as cooking chunks as opposed to just chunks so i wasnt sure if it was more intended for use with charcoal or as its own heat/fuel source.