The government last night (25th March) made a further announcement of how lockdown measures apply to house moves.
The Housing Minister Robert Jenrick MP said on Twitter:
Buyers & renters should, as far as possible, delay moving to a new house while emergency measures are in place
If you’re socially isolating or being shielded, it’s important to try to delay. Other parties should show pragmatism
If moving is unavoidable because you’re contracted and the parties aren’t able to agree a delay, you must follow advice on social distancing when moving
Elsewhere a government spokesperson has been quoted promising further guidance will be published on this in due course, but where moves do need to go ahead all individuals involved should take care to follow Government guidance on social distancing and hygiene. Public Health England’s latest guidance can be found here