But it also wants to spend more than $60,000 making improvements to other areas of the park, the draft long-term council community plan says.
Despite the council calling the aviary "a unique feature", it is suggesting it will go.
Ratepayers have been providing $4000 a year in operating costs for volunteers to run the aviary, but numbers have dropped in recent years to the point where they can no longer maintain the facility.
The council has considered employing a contractor to continue looking after the aviary though this could cost at least $8000 a year.
The other option is to remove the aviary from the park entirely.
The council supports this move and has set aside $6000 in next year's budget to demolish it.
Improvements are also planned at the park, with a $20,000 budget on the books to redevelop the entranceway and seal the car park in the 2009-10 year.
Another $41,320 will be spent on redeveloping the duck pond, new seating and connections to walkways.
"This work comes in response to public feedback received during the reserve management plan process in 2007 and due to a general desire to enhance the environmental and aesthetic values of the area," the plan says.
The project will be funded from reserves, with no impact on rates.
