Oklahoma's not famous for hills, but I'll toss in what I've learned from reading and short climbs.

On a long climb, you're going to go anaerobic, which means your heart and lungs won't be able to keep up with the demand for sugar and oxygen, which means your muscles will use their locally stored starch. Therefore, you should use as many muscles as you can. Burning out two muscles while the rest ride along as dead weight won't get you far. Don't just thrust by straightening your legs. Straighten your back and bring your glutes into it. When you stand up, lift yourself on the pedals so your knees are almost locked on the down stroke. When your leg is pushing down, the arm on that side should be pulling up on the hoods. Arm muscles can do useful work. Maximize respiration by relaxing your lower torso and breathing with your diaphragm. Do not suck in your gut (in general, not just when climbing).

Lennard Zinn's "Primer" has a chapter on climbing. It's worth seeking out.

$0.02