I am not the ultra expert either, but for HIGH DRAIN applications, Lithiums work better, but how much better is debatable.
The best price and performance on batteries seems to be Rayovac Maximum Plus, and Costco. I never have used Costco, so I can't comment, but I really like those Rayovac! Even without cost as a factor, for most applications, I would prefer the Rayovac max plus to any other battery, with the exception of Lithiums for certain lights.