Hi Fathima
There's lots going on in SW17 - but unfortunately lots of baby and toddler groups finish this week for the summer break!
The ones I know of, off the top of my head are:
All Saints, Franciscan Rd, Tues and Fri am.
St Boniface, Mitcham Rd, Tues am.
Tooting Junction Baptists, Longley Rd, Wednes am
St Nicholas, Church Lane, Fri am
Franciscan Primary School Mon pm and (I think) Tues and Thurs am. On wednes and thurs am there is also a singing and story session, which is great (on at 10am and 11am both days)
Tooting Leisure Centre do a toddler gym for babies who can crawl - Thurs am and another day I can't remember(Mon?)
You are a bit far but the Faylands Av ICC does good groups and also St Albans Church across the road from there has a good toddler group on Tues am
St Anselms (nr Tooting Bec) Wednes am
St Bruces, Brudenell Rd, Tues and Fri am
There is a great Toy Library on Franciscan Rd, which also does play sessions - Wednes and Thurs am.
Tooting and Balham leisure centres both do baby swimming. And Monkey Music do sessions, if you check out their website. They also do some kind of sing and sign thing at The Long Room on Mitcham Rd (not sure what day)
Hope this helps! (I don't go to all of them by the way!!)