We've sold our house and will have a period of about 2 months or so before we can move in to the house we're buying.
Does anybody know of any estate/letting agents or landlords who let on a short term basis?

I doubt it.

A thought may be a short let on a holiday cottage if ur near countryside though.

Or a B&B or hotel or 8 weeks in India on the hippy trail.

It would really need to be worth your while though and youd need to store your stuff

d