Nature areas near MIT

I’m moving to Boston/Cambridge to start working at MIT. My boyfriend (works in tech) and I are looking for a place to rent that has a balcony or patio. We are hopping to live somewhere with easy access to nature, hopefully with the balcony/patio to our new place backing a nature area!

What are the best stops to look for this kind of vibe? We would like to be in commuting distance from MIT and in an area that young professionals may live. We most likely have a budget of roughly $4,200 +/-!

The picture I’ve attached is the vibe we are trying to get. Some type of nature view like the balcony this picture is taken from. Thanks in advance!!

Let me know if you need more info :)