Do you love big bluegill?
I'm sure you will get a few takes on the pond in question. Personally I think you need to know whats kinds of fish are in it now and the sizes are they normal size are they stunted. What is the waters depth I ask that because the only way I would know the type and sizes would be to seine it and if your to deep that ain't going to happen. The only other way is to poison off the pond and start over. I think you would need a professional who can gather the data and survey the information and he will give you some options. There is lots to it and maybe no one answer will take care of your problem. I know that's probably what you don't want to hear but that's what I would do.
Are you wanting to manage the pond for big bluegill or big bass? How much are you planning to spend on the pond? I have a pond management company in Tennessee so let me know if I can help in any way.
If the ponds have had fish in them for years, and are in Alabama, and the bluegill average 5-7", they're likely stunted, i.e. overpopulated. Correcting a stunted bluegill population can be done; I've done it several times, including recently; but it's never easy or quick, and the quickest I've ever seen it done has been about four years. Even if the pond didn't have carp, I'd suggest you rotenone and start over. If it has regular (not grass) carp, they're a major problem in and of themselves as they're also prone to overpopulation, apart from muddying the water which is terrible conditions for bluegill.
Aeration is valuable to a pond but it won't make nearly as much difference in the growth of the bluegill as feeding with an automatic feeder would. And, feeding a high-protein, premium food will grow bluegill twice as fast as feeding a cheap food.
If you rotenone the pond and start from scratch with pure-strain (not diluted mutt bluegill like the fish trucks sell) coppernose bluegill fingerlings with top-quality genetics, stocked at the same time as a good number of largemouth fingerlings and a bunch of fathead minnows and crawfish and tadpoles for forage, and you feed daily or preferably multiple times daily with a high-protein food, you could expect to grow coppernose to 9" - many fish this size - within one year. Whereas if you try to work with the existing fish population, even if you hire an expert, it could take you two or even three or more years to get more than one or two to that size. Getting overpopulated bluegill under control is only slightly less difficult than stemming the Pacific ocean with a tongue depressor.
Agreed Walt! Funny story is that we have a friend with a bass stunted lake and a friend with a bluegill stunted lake and believe it or not the bucket biology of putting the stunted bass into the stunted bluegill lake has actually worked pretty well.
You definitely will have an immediate improvement if you add 8-10" bass opposed to fingerlings. The bluegill spawn is done where you are I assume so that would clean up a lot of those fish.