You can try Changi City Point... If you don't mind a public pool, Pasir Ris Swimming Complex revamped their pools and it's very clean and nice! (Even the toilets) There's a children/toddler pool that has a playground similar to the one in the Zoo... Go check it out.
Well not exactly in the East, but the wet playgound at Gardens By the Bay is very very nice, especially with its separate toddler zone. Feels like a picnic. Splash and Surf at the Sports Hub is also good fun. And best of all, both places are free for kids!!
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There is one on the rooftop of Kallang Wave Mall. Take the lift up from near the NTUC to the 3rd floor
thanks