The new service will allow residents to recycle all unpackaged, uncooked and cooked food – but no liquids.
Kerbside collections will be made weekly, while communal food waste would be collected every day under the proposals.
However, some people have expressed concerns that the new waste service could lead to additional smells and more traffic.
But councillor Tim Rowkins, cabinet member for net zero and environmental services, said that the waste would be stored in sealed containers and removed in 24 hours, meaning fewer odours and fewer vehicles.
It will then be turned into compost for use in and around the city.