Peapod.com, the service that allows Stop & Shop customers to order groceries online and have them delivered to their homes, said Tuesday that it has begun offering a new variation of its service, called Peapod Pick-Up, at a Stop & Shop store in Abington.

Under a test-pilot program that is debuting the service in New England, customers can order groceries online, then pick them up later at the Abington store at 375 Centre Ave., Peapod said.

Initially, Peapod Pick-Up will be offered free of charge. Shoppers will be able to choose a one-hour pick-up time between 8:00 a.m. and 8:00 p.m. Sunday through Friday, and 8:00 a.m. to 5:00 p.m. on Saturdays, Peapod said. At some point, Peapod said customers will be charged $2.95 per pickup order.

If Peapod Pick-Up proves popular, Stop & Shop will consider rolling out the program to other stores. The thinking is that Peapod and Stop & Shop want to offer as many convenient options as possible for potential shoppers. The goal is to help “customers shop the way they want to shop,” Joe Kelley, president of the Stop & Shop New England division, said in a statement.

Long-time Peapod customers have been able to create personal shopping lists, read nutrition information online, sort products rapidly by price or by nutrition criteria, and take advantage of weekly specials. Those same features will be available to Peapod Pick-Up customers, the company said. In Eastern Massachusetts, long-time Peapod customers generally pay a home-delivery fee of between $6.95 and $9.95 per order, depending on the size of the order.

Based in Quincy, the Stop & Shop Supermarket Co. LLC operates more than 400 stores in New England, New York, and New Jersey. Like Stop & Shop, Peapod is part of Ahold USA, a division of the two companies’ corporate parent. Stop & Shop has been working with Peapod since 1996.