Hi the Jeffries from Scotland. I am also Scottish but we transported our 2 small dogs from Ireland. Firstly we found it easy to find a rental owning the pooches, I got a few people telling me it was extremely hard however we had the choice of a few. We rented through a letting agency though friends of ours rented privatley and had no issue finding a place with their dogs. You may have to tell some landlords that the dogs will be outside, a few people with the bigger dogs do this, they stick a kennel in the garden but the dogs live indoors. Just ensure on insepction day the dogs are outside. That's the worst case scenario if they ask are the dogs in our out. If they don't ask you the dogs size but tell you pets are welcome don't offer up the size information just incase they panic at 2 large dogs moving in. Accomodation can be found. Maybe put an advert in the Canberra times nearer the time, pet friendly accomodation required. Having refernces may help though we didn't have to supply these. Bear in mind there are a lot of horrible rentals available in the Canberra market and some of the new builds don't offer much space!! Also if someone is going to be home with the dogs during the day it is good to put this in your house applications....every little bit helps. If you look on all homes Canberra rentals you will get an idea how many rentals are pet friendly, you will find contacting the ones which don't mention pets is also useful. Send them an email telling them all about yourself and your lovely well trained pooches, by the time they have read it they will have fallen in love with your dogs :-) Well it worked for us :-)
With regards to free excercise I was worried about this too, coming from rural Ireland with over an acre for a garden, a beach on the doorstep and the local forrests I wondered how mine would cope with city life. My dogs are used to over an hours good excercise per day away from the house and garden and for all our 2 are smallies, if they don't get their good walk every day you know all about it. Anyway I take them out early in the morning and most suburbs have green areas and lots of pathways, I let mine off on there parts (ensuring to pick the pooh!!) and they play fetch, chase the magpies etc... Also our local reseve is leash free and takes around 35 minutes to walk round so we do 2 laps. You will find plenty of dog friendly open areas it just takes some looking. The only concern I have are the snakes!! My 2 are terriers and stick their noses in everything so when I am at the reserve they stay on the main path after spending almost 15k on bringing them over it would just be like the thing a brown belly has a go at them!! I let them run loose on short grass and keep them away from piles of logs etc....it's just common sense. I must say lots of people walk their dogs through the overgrown parts of the reserve but I'm not brave enough...yet...anyway the snakes hibernate for Winter so it's only for 6 months of the year. I think you could tolerate that for having them with you :-) I would say my dogs are on the the lead around 15% of the time and they have adapted well....
Only you know best but make the decision together and both of you have to agree heart and mind as you don't want to bring them and then one of you spend the whole time saying 'I knew we shouldn't have brought them'. It will take some hardwork to do it and be prepared for a few setbacks but It can be done Canberra on a whole is a dog loving city :-)
Whereabouts are you in Scotland?
Good luck and let me know how you get on.