Not sure about pilates but there are good mums and bubs yoga classes in Charlestown https://www.yogimama.com.au/yoga
There’s a Pilates studio in Wallsend. That is kid friendly. I was keen to try but have just not gotten round to it.
There’s a reformer Pilates studio at Edgeworth called Body in Motion.
Not sure about pilates but there are good mums and bubs yoga classes in Charlestown https://www.yogimama.com.au/yoga