Proposals by Medway Council in Kent will see four centres remain. These will become so-called "super hubs", based in areas where there is a high demand for support from families.
The super-hubs will offer children's centre services for children from birth to five, as well as wider family support for older children through "early help teams", involving youth and family support workers, child and adolescent mental health services and police.
The council said the move stems from a requirement to make savings of £963,000 from its early years budget.
The hubs will also be a base for outreach workers, who would visit families in their own homes. The buildings for the 15 children's centres that would close will be transferred to schools and academies.
Of the 98 full-time equivalent children's centre posts up to 50 staff could be made redundant, a report set to be presented to the council's cabinet on 9 May reveals.
The plan, which is being recommended for approval by officers, is one of three options put forward for members of the cabinet to consider.
Another is to close all children's centres, although officers warn that this would risk breaching the council's statutory duty to provide sufficient children's centre services to meet local need.
The other option is to create a single children's centre team, working in a variety of local venues across Medway. However, council officers are concerned this may fail to reach the most vulnerable families by spreading support across too wide an area.
Andrew Mackness, the council's lead member for children services, said: "This is all about looking at what we have and thinking innovatively about how we can transform the service we already offer for families and young people in Medway.
"The welfare of children and families in Medway and helping them realise their potential remains a top priority for the council and we are committed to finding a different but effective way of continuing to provide good early years services for Medway families.
"The option being recommended for consultation would allow us to continue to deliver quality children's services with a particular focus on those most in need."
If approved by the cabinet, a six-week consultation on the plans will launch on 23 May.
