I sometimes tend to break up the pellets for the bottom feeders so that I can distribute them, or put less in if the larger pellet is not needed.
I recently came across a food that all of my fish seem to love. It is a moist food, therefore for my Bettas it is already pre-soaked in a way, also you can make bigger "lumps" of food out of it by rolling the smaller pellets together for the bottom feeders, which I do not always do, as they love the smaller size too, more info
HERE.
The advantage of the above food is that the pellets either float for the Bettas, sink for other fish to grab on the way down, or get to the bottom where the Corys etc gobble it up. I have been very impressed with it and would definitely buy it again. Not sure if you can get something similar in the States?
The only fish I seem to have aggression from at feeding time is a Hillstream loach, he literally head buts the Corys and chases the Loaches. I was advised to get another Hillstream loach so I got one of a different sex, as then apparently they should chase each other! The new one is no bother, but the bigger one has not changed his behaviour, I think he is just a little "nuts". Luckily the aquarium has lots of hiding places for the other fish to get away if need be. I have also found that in not always placing the food in the same place, such as with the sinking pellets, it keeps him pre-occupied as the food appears in different places.