Ps and gs playgroup have a really good baby area
Kin Collective in Leith has lots of baby classes including a stay and play on Fridays. They are on eventbrite
Sing and sign have classes for different age ranges and are a great way to interact with your little one. There are a number of different classes across Edinburgh.
I go to a toddler group on Madeira Street Tues-Wednesday morning 10-12 and there's a number of babies there as well. I have a 2 year old and 5 month baby
We go to the FATOWL Classes in Stockbridge. A range if classes to choose from and they have them in other locations too. My little one is 6months 😊
Baby sensory has class for different group ages (birth-6m, 7m-13m) but you need to book the full term in advance: https://www.babysensory.com/edinburgh-city/home#TimeTable
I’m Edinburgh too and I’ve always struggled to find baby friendly things here. Especially ones that don’t cost a fortune! My little boy is 7 months now and we still don’t do an awful lot class wise as I can barely find any! X