What started as a small trend among neighborhood cafes to reduce waste is gaining support from some big names in the city’s food and coffee world.

Celebrated chef Dominique Crenn, owner of the three-star Michelin restaurant Atelier Crenn, is opening a San Francisco cafe next year that will have no to-go bags or disposable coffee cups and will use no plastic. Customers who plan to sip and go at Boutique Crenn will be encouraged to bring their own coffee cups, says spokeswoman Kate Bittman.

On a bigger scale, the Blue Bottle coffeehouse chain, which goes through about 15,000 to-go cups a month at its 70 U.S. locations, says it wants to “show our guests and the world that we can eliminate disposable cups.”

Blue Bottle is starting small with plans to stop using paper cups at two of its San Francisco area branches in 2020, as part of a pledge to go “zero waste” by the end of next year. Coffee to-go customers will have to bring their own mug or pay a deposit for a reusable cup, which they can keep or return for a refund. The deposit fee will likely be between $3 and $5, the company said.

Blue Bottle’s pilot program will help guide the company on how to expand the idea nationwide, CEO Bryan Meehan said in a statement.

“We expect to lose some business,” he said. “We know some of our guests won’t like it — and we’re prepared for that.”

Larger coffee and fast-food chains around the U.S. are feeling a sense of urgency to be more environmentally friendly, and will no doubt be watching, said Bridget Croke, of New York-based recycling investment firm Closed Loop Partners, which is working with Starbucks and McDonald’s to develop an eco-friendly alternative to the disposable coffee cup.

Despite the name, today’s conventional paper cups for hot drinks aren’t made solely from paper. They also have plastic linings that prevent leakage but make them hard to recycle, Croke said. She says it’s unlikely large national chains will banish disposable cups, in the immediate term, or persuade all customers to bring mugs, so they’re looking for other solutions.

Starbucks and McDonald’s chipped in $10 million to a partnership with Closed Loop to develop the “single-use cup of the future” that is recyclable and compostable.

“They know there are business risks to not solving these problems. And the cup is the tip of the spear for them,” said Croke, adding that Blue Bottle’s choice of San Francisco for its test run is clearly the right market.

Starbucks, which has more than 15,000 U.S. cafes and about 16,000 internationally, plans to test newly designed recyclable cups in five cities next year: San Francisco, Seattle, New York, Vancouver and London, spokeswoman Noelle Novoa said.

California cities have long been leaders in recycling and passing laws to encourage eco-friendly habits.

This year, the state became the first to ban restaurants from automatically handing out plastic straws with drinks. It was also the first, in 2014, to prohibit stores from providing disposable plastic grocery bags to shoppers, and bags at checkout now cost 10 cents.

Also this year, San Francisco International Airport became the nation’s first major airport to stop selling water in plastic bottles. Water is now sold in glass bottles and aluminum cans, and travelers are encouraged to bring their own empty bottles to fill up for free.

Starting in January, cafes and restaurants in Berkeley will charge 25 cents for disposable cups, and San Francisco is considering similar legislation.

Anticipating the fee, a group of about a dozen Berkeley cafes teamed up in a mug-sharing program, where customers can rent a stainless steel cup from one cafe and drop it off at any of the others. Vessel, the Colorado start-up that provides the cups, has a similar program running in Boulder.

Many coffee drinkers in the San Francisco area are taking Blue Bottle’s announcement in stride.

“Of course it’s a good idea,” said freelance writer Tracy Schroth, at a Blue Bottle cafe in Oakland. “It’s such a small step to ask people to bring their own cup. People just have to get into the mindset.”

At a Blue Bottle in San Francisco, electrician Jeff Michaels said he does love the coffee but doesn’t want to pay more if he forgets a mug.

“I paid almost $7 for this coffee,” Michaels said, sipping a cafe mocha. “How much are people willing to pay for a coffee?”

Small-cafe owner Kedar Korde is optimistic that one day it will become trendy for coffee drinkers to carry around reusable mugs, just like stainless steel water bottles have become a must-have accessory in the San Francisco area.

Korde’s Perch Cafe in Oakland ditched paper and plastic cups in September, along with lids and straws.

“We now offer a glass jar that comes in a 12 ounce (350 milliliters) or 16 ounce (470 milliliters) size,” Korde said. Customers put down a 50 cent deposit and can return it for a refund or keep it and get 25 cents off future drinks. The cafe also sells 50 cent reusable sleeves for the jars.

Korde says he’s been surprised by how quickly customers have adapted. He was inspired to make the change after his 9-year-old daughter’s school did a cleanup project at Lake Merritt, across from his cafe, and found their disposable cups in the water.

His daughter joked that she shouldn’t have to clean her room if he couldn’t keep his stuff out of the lake, but he took it more seriously.

“We’re a small coffee shop. We’re not going to save the world,” Korde said. But at least “our cups are no longer winding up in the lake.”