there are much better options than the shrimp you would get at the seafood counter for your fish and corals. typically those kinds of seafood are reserved for starting cycles, larger predatory fish like lions or triggers, or in the case of clams picky eaters or specialists.
adult brine shrimp, even gut loaded ones, aren't the best source of nutrition. they're fairly devoid of most important nutrients. freshly hatched (live) brine nauplii can be a very good supplemental food source since they still contain their yolk sac that has a lot of good protein in it.
i feed my fish a combination of foods.
New Life Spectrum pellets.
PE Myses Shrimp.
Nutramar Ova.
Live brine shrimp nauplii.
Nori for my tang and blenny.
Frozen Cyclop-Eeze.
i usually feed some pellets and nutramar daily. after soaking the nutramar in some Sera vitamins. then a few mL's of brine shrimp nauplii in to my feeder for my mandy (and whoever else steals some). then once every week or two i spot feed my corals with PE Myses. once every couple weeks i will treat with some of the frozen Cyclop-eeze for everyone. i feed less of the cyclop-eeze because the frozen stuff only comes in huge whole sale sized bricks, or in split portion packs with PE Myses, and it goes much faster than the myses does.
the only reason i am on such a lax schedule with my coral feeding is that all of mine are photosynthetic, and i only supplement my LPS with feedings. your requirements for a non photosynthetic coral, as mentioned by others, will be considerably different.
they will also probably be best off if you use a dropper or syringe to target feed them directly as opposed to just broadcast feeding the entire tank.
what part of shadyside are you in? i work right near Melwood ave.