Outdoor Date Help Needed w/in Walking Distance of Davis Square

[sue-agirlnamed.livejournal.com]

So I'm going on a 4th date Sunday afternoon with someone I'm really into, and want to do something outside and fun in the beautiful weather, and within walking distance of Davis, preferably in the Teele Square-ish direction. Any brilliant hidden spots to picnic? Or other great ideas? I'm new to this.