If the cut is part of remodeling your house, the city's Development Services Center issues building permits for alterations and remodels of an existing home, and its permit list names those jobs, not concrete cutting by itself. That leaves open whether your particular cut needs a permit, and the office to ask is that one, at 425-556-7000 or permits@redmond.gov. Before we set a date, we find out which office covers your address and what your project calls for, then tell you plainly who'll handle the permit and the inspections.
At the curb or the public sidewalk it's a different permit, because the city's Right-of-Way Use Permit covers work that blocks traffic, cuts off access or changes anything in the street, along with private use of streets, sidewalks and on-street parking. Where the wash water runs matters too, since the city's stormwater rules list waste from concrete sawing and grinding as something to keep out of runoff, so we plan where the slurry, the wet gray concrete dust a saw leaves, goes before we start. We're based in Redmond, where most of our cutting calls are older driveways and patios with a panel that's sunk or a line that needs a trench, and we do the same work in Kirkland, Bellevue and the cities around them. If your city isn't on our pages, just ask.