Best toddler stroller for long walks?

I live in a mountainous area, have been walking with my toddler to help with weight loss. Last year (not walking outside now, we have tons of snow) I pulled her in her wagon on our walks, but uphill it was very hard on my aging back. This year I'd like to try walking with a stroller. What is good one (please I can't afford $500 for a stroller) that would be able to handle varying terrain on our 4 mile walks? Do I need a jogging stroller, or would a "standard" stroller provide her with a comfortable ride?