What's your primary species of interest, i.e. are you most interested in LMB, or bluegill/redear? If LMB, shiners will give you bigger bass than if you didn't have them, but in my experience and observation, I've never caught bluegill as large in ponds and lakes that have GSH, as ones that don't, and I've seen in one particular instance a 100-acre lake near my hometown that used to have huge bluegill in years past, but was stocked with GSH a few years ago, and now they've overrun that large lake and the bluegill size has declined dramatically. Half of the GSH diet is crustaceans, insects, zooplankton and snails, which in other words means they're directly competing with your bluegill and redear.
FHM on the other hand are always good to stock as the sunfish and bass both will love them and they don't get large enough to avoid predation. They'll likely be little more than a distant memory within a year of stocking the bass, but in the meantime they'll give all of your fish a much better headstart than they would have had without FHM.
If bluegill and redear are your primary interests, you might want to consider stocking grass shrimp. Fattig's Fish in NE sells them, and bluegill and shellcracker both love them. They'll have a better chance of establishing a population if you have some kind of submergent weeds growing in a few places in the shallows, as weeds are their preferred habitat.
You don't need grass carp unless you don't plan to fertilize. If you fertilize the pond regularly - and in MS it probably won't take much fertilizer - you'll keep a good plankton bloom on the pond, which will make your fish grow exponentially faster, but it will also block out the sunlight from penetrating down into the water such that FA and any other weeds can't grow (except for watermeal and duckweed, and grass carp don't eat them anyway, but you probably won't get them with a new pond). Also, if you plan on feeding, which you absolutely should if big bluegill are a goal, the carp will hog the feed and make it difficult for the bluegill to get much, especially once the carp get to be thirty or forty pounds.
If bluegill and shellcracker are a priority, you might also consider stringing a few strands of fence wire a foot or two above the water in a handful of places around the pond to attract dragonflies. They lay their larvae in the water, and bluegill love said larvae and thrive on them.
Lastly, I would stock coppernose bluegill, as they grow faster and larger than normal bluegill, and tiger or F-1 bass, for the same reason. You could stock the BG/RES this fall, and the LMB next spring. The grass shrimp you could stock as soon as you can get hold of them, and the same for the FHM.
