The agency is slated to select a firm at its May 15 board meeting.
The searches are for buyout, growth equity and venture capital strategies.
The retirement system committed $500 million to four existing managers.
Funding for the new domestic small-cap growth mandate comes from a passive investment with RhumbLine Advisers.
The plan will move the assets with the state investment trust.
City is seeking investment services for its $215 million investment portfolio.
The plan has begun a request for services for a consultant.
The plan put in a full redemption request with its sole real estate manager.
The current consultant’s contract is set to expire later this year.
The plan rehired its incumbent after finalist interviews.