Protimeter, that's the name, I have been struggling to remember - thanks
Don't Protimeters depend on sticking pins in the wall (damaging it)? I suspect that the Landlord would kick up a fuss about that. There is one on Amazon for £160 which I could probably tolerate - there is also one for £18.50 but I wonder how accurate / reliable that is.
As to getting in someone to test for moisture, I suspect that they wouldn't be particularly interested unless they were invited in by the Landlord and he is highly unlikely to want that since as you suggest, he is likely to have known about the problem(s) for a while.
I suspect that he accepts a regular turnover of tenants and he relies on retaining some or all of the deposit, gets the tenants to clean the flat thoroughly on departure and occasionally gets the flat repainted to hide traces of mould and damp.
Some (not all) Landlords are absolute crooks.