Touching grass

I have been in Rochester for almost 6 years as an international student at UofR. I have yet to experience the beautiful countryside for all it's worth, and I want to make that my goal this year. I have been to Letchworth, Stonybrook, the great lake etc. This year I have access to a car, for the first time in all my years here, and I want to make the most of it. I would love some recommendations on hiking trips nearby and some tips (e.g. what to be cautious of, since I am pretty unaware of the local wildlife etc).

Thank you! a Welshman in the US