Before you get into the meat and potatoes of your triceps work, start your workout with some independent-handled pushdowns to get some blood into the triceps and keep the elbows happy. Do 3-4 sets for 20 reps.
You see it happen all the time. An out-of-shape actor gets a part playing a superhero or action hero in a movie. A few months later, he's buff. You think, "Dammit, why can't I get into shape that fast?!"