“This bill will slash business to mom-and-pop restaurants and hurt consumers in the process,” Mr. Collins said in a statement.

Restaurateurs disagreed. Robert Guarino, chief executive of 5 Napkin Burger, which has four locations in Manhattan, said doing business with the food delivery apps had been challenging.

“So many of these orders are not profitable,” Mr. Guarino said in an interview. “Are these platforms providing a new customer, or taking the business of existing customers and charging us a fee?”

The bills, which are expected to be the subject of a public hearing by the end of April, are not assured passage. But they will likely have wide Council support: More than 30 City Council members signed a letter in October threatening to “explore potential legislative solutions” if Grubhub did not hire an outside company to resolve complaints from restaurant owners that they were being charged for phone calls that never resulted in orders.

“This is resonating with a lot of members who are seeing restaurants in their district dealing with the fees,” said Francisco Moya, a councilman from Queens who is the co-sponsor of the legislative package.

Jennifer Fermino, a spokeswoman for the City Council speaker, Corey Johnson, said he would review the legislation once it was introduced.