Centered around Taikang Road in the Huangpu District (the former French Concession), Tianzifang is a highly-touristed area known for its authentic shikumen-style buildings and narrow alleyways. Shopping and dining are the main draws here and while it is not as glorified and obvious a tourist trap as Xintiandi (it actually looks like middle-class locals still live here) you'll nevertheless be accosted by souvenir shops and shuffling, picture-taking crowds.
The entrance is is easy to miss (Lane 248 through a run of residential buildings), but once you're in Tianzifang there are some excellent places to dine and even hang out later into the night. You'll encounter plenty of cafes with outdoor seating, while even burger joints (New York Style Steak & Burger) and pizza places have joined the crop of local vendors. Grab a terrace seat at one of the bars in area, maybe Nuzi or Kaiba, for a place to people watch as the sun goes down. Also, if you're one for the hookah, hit up the Bell Cafe & Bar.
Hip and commercially popular (unlike many of the actual hutongs of the past), Tianzifang is just the place to accommodate your romantic notions of Shanghai in a convenient location.