If you are approaching Edinburgh from the East near North Berwick then the small but evocative Myreton Motor Museum is worth a visit. Run by a farming family it is housed in a few spare buildings and was established in 1966 and its strap line is “A trip down memory lane.” A 1931 Austin Seven with a Swallow body did it for me and the museum sports one of the best collections of petrol cans I have seen of late!!
It is in Aberlady, East Lothian, EH32 0PZ. http://www.myretonmotormuseum.co.uk