It's fine. We have a little brown bin (it's really not big, probably 6 or 7 inches high, 5x4 inches or so? Anyway, all food waste goes in there, and then we have a brown food bin (lockable with the handle so animals can't get at it), you empty the little bin into it, and this is collected once a week, along with cardboard. Black box for paper, foil, glass, cans, clothes, batteries etc! Then we take plastic bottles etc to Waitrose every so often and put them in the bins there. There is a green bin option for garden waste, but we compost that, so don't use that. The black wheelie bin for everything else is collected fortnightly.
Really don't see why this is SO unpopular - once you get into it, it seems natural, and seems really weird puting recyclable stuff into the bin. The only down side of the brown bin last year was that there were fruit flies in the kitchen, so am going for a policy of only opening the big brown bin away from the door, and bleaching the little bin every time it looks like it needs it.
I understand that food waste didn't use to be such a problem as many more people kept animals like chickens and domestic pigs who could eat the food waste. We're getting some chickens in a few weeks!