Which bin for paper plates and party cups?
Usual answer in the UK
General waste General waste bin
Paper plates and cups are often plastic-coated and dirty. Put them in general waste; some councils accept plain uncoated paper plates in food waste.
Also possible: Food waste caddy.
Does every council do this?
Most councils follow the answer above, but bins and sorting rules are set locally, and a few councils still do things differently. If your bin has a sticker, or your council sent a leaflet, follow that. Enter your postcode to go straight to your council's guidance.