Not a big fan of hills, me. Give me the flats or rolling country anytime. Saying that, one of the best ways to train for hills is to actually get out and climb them. I make it a point of alternating my long ride from hilly to rolling every weekend.
Simplistically, hill climbing is all about power to weight ratio. Weight's obvious - decrease weight, go up hills faster. On the flipside, you could increase power and you'll also go faster. Power in this case is muscular force, and the best way to improve that is low cadence-high gear work. Here's how I like to do it:
After you've warmed up (well - I like 15' WU and CD), you'll want to select a big gear that you can spin at 60-70rpm. Your HR will be relatively low - this is primarily "strength training" on the bike rather than cardio. Stand and at first do 3' in this big gear, recover for 1' (spin easy gear) and repeat, say 5x. Your pedal stroke wants to be nice and smooth throughout - if you're stopping at the bottom of the stroke you're in too high a gear. You'll want to build this up until you're doing 20' (see DRUMMERs post). I aim for 30'-40' per session myself, either 2x long sets or 5x short sets.
Of course, you should be doing this ON a hill. Isn't the weather nice there in TX these days? Failing that, you can also do these on the flat, ideally into a headwind. On a trainer, use a riser block for the front wheel so that you're simulating going uphill.
Everyone's got good tips for going uphill, I'm especially guilty of white-knuckling the handlebars when I get tired. On your ride, make sure you have enough low gears for the hill. I have a large cog on the back which is my "bail-out" gear which everyone laughed at when I put it on - they weren't the ones laughing when I was spinning nicely up the hill while they were suffering! It is MUCH easier to spin a low gear at high RPM up a hill than it is to mash a bigger gear.
Hope this helps, and good luck with the training!
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