Zoom is very important to me, i live on one of the busiest avenues in my city the p1100 focus is so slow and the quality of the 1/2.3 inch sensor is just a bit too bad for me, i only take pics and video of people

So an aps c is the best option for me right? i was thinking about canon with their 1.6x crop factor with a 200-800mm or 150-600mm?