The park gets its name from the Potter Children's Home which operated on the land for many decades.
Council landscape architect Tracey Moore said staff visited Totara Grove School, Tikipunga Primary School and Te Kura Kaupapa Māori o Te Rawhiti Roa to share plans and images of playground proposals.
She said the most popular design overall, as selected by the students, will be supplied and installed by Playco Playgrounds.
"The new playground will feature play equipment with shade sails, a toddler bike track, seating, drinking fountain and additional trees."
Moore said some mature trees on the corner of Corks and Vinegar Hill roads will remain.
"The site will be cleared and bollards installed around the boundary. New concrete footpaths on Corks and Vinegar Hill roads will connect to the park entrance."
She said the tender for the work on the park closed on Friday.
The trust was established in 1925 by the Potter family and the home was built in 1939, originally to care for orphans.
It closed in 2013 after staffing costs became unmanageable.
In 2015 representatives of the home approached the council with a proposal to provide land for a children's park on the corner of its 10ha site.
In 2017 the council finalised the deal to move the land on the corner of Corks and Vinegar Hill roads into its hands.