Welcome aboard. I sent some local suggestions via PM, but will expand on those.
The Skipper Bob guide has good anchorage suggestions as Warren suggested. These are now published by the same folks who do the "Waterway Guide".
Anchor: My tests last year lead me to purchase a Manson Supreme 25#. I also use a 22# Delta. Along this area, I would also carry a Fortress FX 11 as a stern or mud anchor. The Delta is not the best in soft mud.
I would have 25 to 50 feet of chain backed with 200 feet of line. This will cover anything you will find on the coastal areas. (You could get along with 25 feet of chain and 100 feet of line if just on the ICW-but might as well get more). You will want 1/4" G4 chain, and 1/2" line (some use Plait and some use 3 strand).
I like air floor inflatables in the 9 foot size but you can use a a boat as small as a slat floor 6' 7" inflatable--either will work fine with a 2 to 3 HP outboard. You could plane with one person and 8 hp--but as you get the bigger inflatables and motors, they weigh more, and are more difficult to get aboard. Hypalon Fabric is tougher and more sunlight resistant.
We also have a couple of Hobie Mirage Kayaks, which are a lot of fun in this area.
Other gear: I keep a hand held GPS (Garmin 76 Cs and a hand held VHF marine radio (Icom or Standard Horizon)--waterproof, a whistle and ACR flash/strobe light in my personal waterproof bag, along with some extra AA batteries.
Other gear: LED headlight, Consider a PLB or 406 EPRIB. Inflatable life jacket, Class III life vest for the dinghy. Lights (LED) for the dinghy. Cable and lock for the dinghy, Motor lock for the dinghy.
Tool kit for the boat--fill in the blanks. I am sure that others will jump in.