In Durham, if you are living in an apartment building, obtaining a wheelie bin is typically the responsibility of your landlord or housing provider. The council notes that it's the responsibility of landlords to supply refuse and recycling bins for rented properties, including flats.
If you need to request a wheelie bin or have specific questions regarding your situation, it's best to contact your landlord directly. If you're inquiring about a new build, the developer usually supplies the bins.
For other inquiries or assistance, you can check this request page for new bins.