Hi Pinno1, welcome to NCAngler.
There are lots of choices and options but let's start with a basic set-up and maybe others can chime in with some other options.
For Drum in the creeks and marshes, light tackle is the way to go. I use a 7' med. light spinning rod with a good reel matched to it (I like the Shimano brand but Penn and Okuma are good too). Spool it with 15 pound Braided line - Power Pro is a good one. Then add a little bit of Flurocarbon leader. (or to keep it simple, use 12 lb. mono instead of the braid but you will get more breakoffs around the docks and such).
If using live bait, a Carolina rig works well - slide a 1/2 ounce egg sinker on your line, then a plastic bead, then a small swivel. Below the swivel tie on a snelled hook on about 18-24 inches of line. Use a 3/0 or 4/0 circle hook. Run the hook through the nostrials of a menhaden or just below the eyes of mullet.
For artificail baits, I like using a 1/4 or 3/8 ounce jighead with a Berkley Gulp! jerk bait. Just tie the jighead directly to your line. Some folks like to use spinner baits too.
For drum the current regulation allow you to keep one drum per day that is at least 18" inches but not more than 27" in total length.
Tight lines.