The Trinidad... how I miss that airplane!!! Gotta love its sports car-like interior and being shoved back into your seat by 250 HP. I must have somewhere between 50 and 100 hours in the TB-20 (I would need to check; it's been awhile).
Three things come to mind right away:
1.) Its small wings are awesome for riding turbulence, but it drops like a brick without power, such as when practicing 180-degree power-off accuracy landings. The maneuver is "iffy" if you are starting from an 800-foot pattern. Do it from 1000 feet, and with much caution and attention to speed. If you get it too slow it sinks even worse. This plane doesn't float like a Cessna, so if you get a little slow, you will probably need to add power and re-try the maneuver. Same advice goes for regular landings: keep your speed up, and fly it to the runway. Done right, and the thing will sort of just plunk down nicely on that trailing link gear.
2.) My two cents on the braking/tire issue. Preflight your tires carefully. (You do check for bald spots, right?) The Trinidad's brakes are poorly designed IMO. It's like they are either full on or full off. I was practicing short field landings with my instructor when I learned that the hard way. There must have been a small, unnoticed flat spot on the left main tire. During a short field landing, I locked the wheel and blew the tire in the intersection of two runways. (At about 75 kts...) I didn't even think I was using much brakes. After that, the school's new training procedure was to "simulate" heavy braking. Be careful about how much pressure you put on the pedals.
3.) If you do the takeoff procedure correctly as described in the book, you will probably get the stall warning at rotation. No need to be alarmed or increase your takeoff speed. (Is it 68?) It only chirps for a second, and that's just how it is. Another second later and you're climbing like a rocket.
HAVE FUN - I'm jealous!