I've done two city hunts, saw two does, took one shot that didn't connect. I didn't get drawn for this year's hunt. Despite my failures I have some thoughts.
I think that city hunts are a perfect application for the Ranch Fairy dust. Set up close, take short shots with heavy arrows. Shoot well forward, into the "Vital V" / "Spaghetti Junction", and try to break the offside shoulder on exit. A suddenly-three-legged deer is hopefully less likely to run into traffic, and leave you liable for a collision. Let alone the hassle of tracking across multiple backyards. Use heavy, overbuilt arrows with monolithic single bevels, and shoot with the intention of breaking or severing bones, after cutting up the most important plumbing.
This is also a perfect application for TimberPimp camo. Slinking into the woods in a leaf suit is conspicuous, especially if you're trying to be sneaky. Diddybopping about in a Hawaiian shirt and a backpack or stroller or child's wagon, you're part of the landscape.
The city I hunt in requires encourages elevated shooting positions - stand, saddle, platform, etc. - although they will grudgingly allow ground blinds. They forbid stalking / still hunting / etc. Before you plan your setup, double-check your city's rules to see if they require a minimum elevation, in addition to any setbacks from trails and such.
As you scout, try to pattern the public. If the high school running team runs down a trail at 4:15 every afternoon, or Edna and Gertrude walk their Pomeranians every morning at 6:45, maybe deer will react to that stimulus. Maybe you can take advantage of that.