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Jerry Gress, left, gets his receipt from Alex Percha at Wohlner’s Grocery & Deli last year. The store has moved away from plastic bags, leaving customers a choice between paper or reusable fabric. The fabric bags cost $1, and customers who use them will get 5% off most regular-priced items.

Omaha’s oldest grocery operation is ditching plastic grocery bags.

Starting Saturday, customers at Wohlner’s Neighborhood Grocery & Deli at Midtown Crossing can choose to use either paper bags or re-usable fabric bags, the store announced in a press release.

“Protecting the environment takes everyone doing their part. We’re excited to do ours,” Wohlner’s owner Mike Schwartz said.

Wohlner’s move away from plastic bags comes just days before the Omaha City Council votes on whether to override the mayor’s veto of a plastic bag ban. The council meets Tuesday.

The measure Mayor Jean Stothert vetoed would ban single-use plastic bags from all retailers larger than 10,000 square feet. Grocery stores, big chain stores, home repair stores and more would be covered by the ban.

The mayor has said she has concerns about the ban, including questions about its effectiveness fighting litter.

At Wohlner’s, the fabric grocery bags will be available for purchase for $1 each.

Customers who use the store’s reusable bags will receive a 5% discount on regular-priced items every time they shop at the store. The discount excludes tobacco, stamps and customer service items.

Kroger, which owns Baker’s stores in Omaha, has said it is moving away from plastic bags. Trader Joe’s, Aldi, Costco and others don’t use them.