Hi Mr. Riley,
You should be able to kayak over to Hula Bay Flats, which is the first shallow flat just southeast of the Gandy Bridge. There are places you can launch your kayak in that area off West Shore Blvd. The flat is holding tons of bait, and you should be able to also catch trout there. If you move over towards the town homes to the south, there are plenty of snook and reds there.
The Islands around the town homes and Hula Bay should also be holding all three fish -- trout, redfish and snook. On the opposing side of the Bay you can launch off the shore on the St. Pete side of the Gandy. Not sure there is a lot of bait there, but the redfish and snook bite has been good just south of the Gandy, which would be the entire Weedon Island area. If you're going to use artificial baits, I would use the following three types, as they work great in this area.
1 - MirrOlure MirrOdine - XL in color # 18 or # 49
2 - Zara Spook Jr. - in Bone or Bone/Silver
3 - DOA Shad Tail - Arkansas Glow
There are tons of other places that anglers have been fishing from kayaks with success. The areas in the forum linked below have been having 30-plus snook days and 30-plus redfish days. They also have been picking up a few trout, even though they are not targeting them.
Let us know how you do, takes some photos and send them in for picture of the week!
Captain David M Rieumont
The Online Fisherman Inc