The mayor also criticized some of Gov. Andrew Cuomo's budget plans.
NYC pre-K programs unaffiliated with public schools aren't shielded under the current sex offender law.
The governor walked back talk of a rift between himself and Mayor de Blasio.
Councilwoman Julissa Ferreras urged centers throughout her district to come forward if they have space.
Spending proposals include more money for after-school programs and bulletproof vests for police.
Parents at WHEELS Elementary in Fort George said the school needs more traffic-safety measures.
Families will be able to fill out a single unified application for pre-K seats starting March 16.
It's not the first time Mayor Bill de Blasio and Gov. Andrew Cuomo have clashed on major policy.
The mayor's most-mentioned words last year included "city" and "people."
The program is based at 375 East 143rd St. in the East Side House Settlement Early Learning Center.
The South Bronx's High Bridge saw a big increase in pre-K seats, while Downtown had few new spots.
The new structure would contain 38 units at 1416 Franklin Ave., the developers said.
The city extended the Oct. 1 pre-K enrollment deadline because scores of seats are still empty.
From a Park Slope Ebola scare to complaints of "Internet people," check out the week's popular stories.
After Mayor de Blasio gave $42 million in raises to bus drivers, preschool teachers want raises too.
Get Our Daily Afternoon News Update Newsletter
Thank you for signing up!
Would you like to sign up for additional newsletters?
Thank you for signing up for additional newsletters.