Amme, Compost needs three things, a good mix of stuff, Air, Heat Dampness not wet. OK four things then A bin size will not be big enough to get the heat needed over a short period so you are looking at months before compost is made.
The ideal is two large containers one to fill one to use, a good mix would be green stuff woody stuff vegetable peelings paper straw grass cuttings although only a thin layer of that, also the odd pot gets emptied into it. My containers are wood with air slots in the side, they get turned on a monthly basis and I have compost in four months during the summer. As it is turned a handful of fertiliser and a damping with a rose on the watering can is enough to start the heating. Placing them in direct sunlight and out of the wind will help heat up and I have lids on mine to keep direct rain from soaking them, you lift the lid and can feel the heat rising if not then it is not working.
Never put meat of anything cooked in the compost though some do, I would not risk it there is plenty of stuff you can add without that. As I said use some of your grass clippings too much will turn into a dark gluey mess so that goes in the council green bag along with brush wood which is too thick. Compost takes time, a single bin can take a year if it is a cold summer, when I load up a bin in Autumn it is with the knowledge it will take a good six months to compost. The only fast way is how the council does it build it high and wide, they shred everything and turn it weekly with JCB's it will still take six to eight weeks.