Syracuse area is definitely spoiled when it comes to Grocery stores. I grew up near a P&C, Price Chopper and two Wegmans. All three were/are pretty good and would be #1 in most parts of the country. When I was teen and in my early 20s I didnt shop much at Wegmans due to the crowds and because I thought it was overrated. The last 5+ years though I do find myself shopping at Wegmans a lot especially after Tops bought P&C and changed there subs.
Price Chopper is the best for meat and seafood and is usually extremely well stocked. As Ottomets noted above the clientele can be a bit sketchy (dont go on the 1st of the month if you value your sanity), but they have great deals even on high end stuff lobster, porterhouse steaks..etc
Tops is good for just needing a few items you can usually run in there and get what you need quickly. I usually avoid buying meats from there as the quality is usually sub par and there prices are higher then Price Chopper and Wegmans. I grew up going to that Tops though when it was P&C so I have a nostalgic feeling there and will usually go there for small trips. There produce is usually good and its never packed. Its funny the Tops near me is never packed but has constant stream of people there from open to close, how they do it I have no idea.