I love catching reds in shallow water.  If you're fishing from Slippery Creek area on south, it's usually clear enough to stalk them.  If you see their tails sticking out of the water, they are feeding.  This is when being quiet and casting accurately is important. 
If you have Capt. Leo Hiles' book, "Fish Sense - a Redfish Primer", you know that...
"noise is you're biggest enemy".  More on this later...
If visibility is bad, fish an area for 15 minutes then move, keep covering new areas until you find them.  If you drift up on one, anchor up and thoroughly fish the area, there's probably more around.  If there are a lot of mullet around and you are spooking them, they will be spooking the redfish.  Slow down, anchor up, let things settle.  If you don't get a bite in 15 - 20 minutes, move a little further down the bank, drop off, or across the flats and anchor where you were casting to.

Lures- If you're using lures, you have to cast well ahead of the fish.  Make sure that your lure looks like a bait that the fish have spooked and it is running away from the fish.  Bait does NOT swim towards a red, and they are smart enough to know this.  An ideal cast lands 10 feet in front of a red and is retrieved at a 45 degree angle away from the lead fish.  Remember, if you spook one fish, you spook them all. 
Soft plastic jerk baits, in white, are my favorite.  They can be rigged weedless and land with a soft "splat" rather than a loud, sharp noise like a topwater plug full of rattles and treble hooks (even though I love tossing a Spook Jr. and walking-the-dog).   
The shallow running DOA Baitbuster is supposed to be good this time of year.  Capt. Chris Meyers always has one rod rigged with one of these this time of year.  Cast it and stop the line before it hits and raise the rod as you start a steady retrieve as soon as it hit the water.  Reel it in steadily just under the surface of the water, leaving a "V" wake, like a cruising mullet.  A little twitch of the rod tip will make it jump over little pieces of floating weeds.
Gold spoons in the 1/4 oz. size cast far and are great for covering a lot of water.  If you get a swirl behind the spoon, cast a live bait or cut bait in the area and hang on!   This is great when visibility is low and you're trying to cover a lot of water.

Cut bait, like ladyfish and mullet chunks are great for casting to feeding fish or for soaking in a likely redfish restaurant.  They give off lots of scent and cast a mile.  Other fish work well too, pinfish, pigfish, and even needlefish will work.  If visiblity is bad toss a couple cut baits out in a likely spot.  If you don't get a bite in 15 minutes...move.
Live bait, such as finger mullet, pinfish, pigfish, greenies, etc. are also good.   When blind casting with plugs as I'm moving along a drop off, on the trolling motor, I like to slow troll with a couple finger mullet out the back of the boat.  If I'm anchored on the flats I like to hook them near the anal fin.  This gets the fish swimming away from me and creates lots of struggling vibrations.  A little tension on the line and you can get the mullet to swim into an area without getting anywhere near it. 
Rigging - Two feet of 20# flourocarbon leader and a 1/0 or 3/0 circle hook is all that's needed.  I tie a Spider Hitch to double my 10# braided line, then a Uni- to Uni- to join it to the leader and use a loop knot to tie the leader to the hook.  No swivels or other hardware. 

Where to look - Reds love areas that have transitions:   drop offs with current; sandy pot holes in grassy areas; the down wind end of an island point; an indentation along the bank that the wind is pushing water and bait into.  Any of these areas should have deeper water, 3 feet or more, nearby.  When the water is high, they like to get up in the marsh grass or cruise the outside edge of it.  Keep moving along these areas.  Polarized glasses are a great tool in spotting them.

NOISE (again) - I have an Anchor Pin system on the back of the boat and a 10# mushroom anchor tied to 12 feet of rope on the front, no chain! 
Remember, NOISE IS YOU'RE BIGGEST ENEMY IN SHALLOW WATER ! ! !  
This goes for casting also, don't rock the boat when you cast.  Be rigged and ready when you approach fish or where you think fish should be.  That is not the time to walk back to the livewell for a new bait.  Squeaky noises coming from your shoes as you turn is a BAD THING.  Take your shoes off, stand on a small piece of carpet or rubber matting or just turn at your waist, but don't make jerky moves and you can get right up on a feeding school of redfish.   However, I like to stay a long cast away from them, preferably casting down wind.  Also, reds usually feed into the wind and/or current. 
DON"T chase them with the trolling motor or try to "bump them up" as you cruise around on plane looking for them.
If they get spooked, but not too badly, they will sometimes come back in 15 or 20 minutes.  They don't have a long attention span, especially when they're hungry.

It's amazing how a 30 or 40 pound red can disappear, without a ripple, in less than two feet of water!   

Releasing - When you're fighting a fish, any kind of fish, it's best to wear it out away from the boat.  Only bring the fish near the boat when it's worn out enough to land.  After quickly getting a photo and a measurement, get it back in the water.  Hold it by the tail and let it regain it's strength.  Do not push it back and forth, water does not naturally come in thru the back of the gills.  Just hold it still, watch the gills move in and out and let it recover while the lactic acid works it's way out of it's system.  Sometimes I slightly flex the tail from side to side to help the muscles stretch out as it recovers.  When it's ready to release it will pull loose from your hand.  There's been more than once when a red has flipped loose from my hand and then turned belly up in the grass, and I've jumped out of the boat and revived the fish a little more before I had a good healthy release.  If you leave them belly up, they will die. 

The slot size is between 18 and 27 inches.  Please use CPR (Catch, Photo, & Releae) on all out of slot fish.  We need the big breeders for future fishing trips (and it's not worth getting caught at the ramp with an out of slot fish.  They will confiscate your boat, truck and trailer and the fine is huge, so don't risk it for a couple meals.)