You’ll need to consider the following;
Planning – either consent or cert of lawful development
Building Regs – to ensure it is at least the minimum building standard
Party Wall Act – at least Notice on your neighbours, possibly an Award
Build Over Agreement – if there’s a common drain near or below where you want to build.
Don’t rely on you builder to know, let alone deal with the above items.
A sole practitioner Professional – Architect, Architectural Technician, Surveyor, Structural Engineer – would be able to sort the above out. I’d budget £2,000.00 for their fees (if all of the above is required) plus application fees and fees for a Party Wall Surveyor (if the response to the PW Notices is dissent).