Changes during a tenancy are inevitable. Handled in writing, they are routine; handled informally, they cause confusion months later.
Adding or removing a tenant
A simple deed of assignment, signed by all parties, is the cleanest route. Update the deposit protection registration immediately afterwards.
Permitting a pet mid-tenancy
A short written variation to the tenancy setting out the new permission and the related obligations.
Rent changes
A signed agreement varying the rent, with the effective date and the new amount, beats a chain of emails every time.
A file with no variations is unusual. A file with verbal-only variations is a problem waiting to surface.

