Changing the cassette might be cheaper, but it won't make that much of a difference. (EDITED TO ADD: Unless you go for a mountain-bike cassette with a much wider ranger, but then you'll need to change other parts too I'm afraid.)
Personally, I'd get a compact double (34/50 or similar)...
EDITED TO ADD: You can calculate gear ratios on Sheldon Brown's page on gearing...



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(one of many simple rule of thumb to being a good climber).

