Don't know if this is your first time in Shanghai. Two ideas (as a non-resident though semi-occasional visitor to the city)

1. Go to Old China Hand Bookstore on Shaoxing Lu (google it). Buy book "Six Shanghai Walks" Do one of them (I did No. 4 the French Concession walk, simply lovely).

2. Biking in Zhujiajiao. Did it with Bodhi Bikes (was with a group). Incredible stuff.