Ringwood Lake and Wombalano Reserve are both within Ringwood East, and both provide toilets, playground and BBQ amenities. Ringwood Lake has sealed flat walking/cycling tracks all around, and grassed areas for picnicing, while Wombalano has lots of undulating gravel bushland tracks, which are wonderfully quiet and cool in the summer. There is also Gracedale Park, which has a nice picnic area and playground, as well as an oval and tennis courts. There is also a major bike path that runs alongside it, but the name escapes me. Lastly there are many other small playgrounds scattered around Ringwood East, but these three are your best.
The above review is accurate and offers good guidance. The name of the shared-use trail is the Tarralla Creek Trail.