There's a new brand of full crampons called Katoolas (or something like that) that have short spikes and hinges for flexible shoes. Some hikers use them over trail runners. I believe they're aluminum and lightweight, which means they would wear down quickly if used on rocks or bare pavement very much. Might be a good choice for steep ice in the city.
When using any type of crampon, you need to learn kind of a bow-legged walk so your feet stay further apart than normal and you don't catch your points on your pant legs and trip. Gatiers are good for keeping the pants out of they way, but gaiter tears are still pretty common.
Oil is good, grease is better.
2007 Peter Mooney w/S&S couplers/Terry Butterfly
1993 Bridgestone MB-3/Avocet O2 Air 40W
1980 Columbus Frame with 1970 Campy parts
1954 Raleigh 3-speed/Brooks B72