In reply to Georgert:
We're moving to Kendal this week - renting initially (6 month minimum term, then rolling monthly) whilst we find somewhere more permanent. Found through Rightmove, but I also contacted a few local estate agents directly and got on their books. There seems to be quite a bit of stock that refreshes quickly, but you need to be proactive or you'll be left behind - may be worth booking a few days off and arrange a good few viewings in the area.
I was a bit worried about finding a rental, especially as we have a dog, but we lucked out with a property not too much smaller than what we have now who allow pets (and in fact prefer them, as they know so many other places are pet-averse). We only viewed it a month ago and got it - the relief when we were confirmed was massive - wife's job (Lancaster) starts 7th March so we needed to be in place next week at the latest.
Has always been our plan to relocate to Cumbria (wife is from North Cumbria originally, we have lots of friends in S Lakes) and I'm really looking forward to it - once the move is done. I think I'm going to sleep for about 20h on Thursday and Friday nights!