This is great @Zahra Thankyou!
https://docs.google.com/spreadsheets/u/0/d/18I50YDk8e3Ya0LaKLPeyGLTi-LD2xeSIDJYaN3dvlj0/htmlview
Burnaby Family Life is open Sat mornings. It’s across from Metrotown, $10 fee for the year.
Mount Pleasant community center has a toddler gym every day of the week from 10-12 AM except Sundays. Also there's this Colourstrings music activities for all age groups in Mount Pleasant that have classes during the weekend.
I’m not sure where you are located but the West end community centre and Coal Harbour community centre have baby playtimes on the weekends