I have tried a new technique recently and I have really liked the results.
I place 2-4 chunks (depending on size and type of wood) on top of coals, after adding the lit ones.
The change is, as I'm loading the basket with charcoal, I add 1/3 of the briquettes, then sprinkle wood "chips" of the same variety (or an accent flavor), then give the basket a little shake to distribute them randomly. Then add another 1/3 and add more chips. Top off and place chunks on top.
Right or wrong, I figure this produces a continuous release of wood smoke as it slowly burns through the fuel and hits the chips. My theory is, I can get more fuel and smoke, without having to bury larger chunks in the basket.
The chips can be had in several varieties at multiple locations. I've been able to find, hickory, apple, cherry, pecan, alder, and mesquite. Walmart, Bass Pro, Home Depot, Academy Sports. Not all at every location.
As I said, I've been really pleased with my last 2-3 smokes.
Warning: don't over do the chips, especially with a strong wood. Likely, I would not try this with mesquite.