I found that the problem I had with climbing was not so much trying to grind a way in a big gear, but dropping into too low of a gear and spinning at waaaay too high of a cadence. The rapid spinning wore me out more than the hill itself.
Also, a simple tip, when you are climbing, do not look at the top of the hill, look at a point past your front tire so that you see just enough road ahead to dodge any obstacles. Climbing is psychological as much as it is physical. You are going slow so the top of the hill never seems to get closer. This will destroy your confidence. Look forward a little bit and you will be surprised when you get to the top.
Good luck, ride hard.