I like the Jiffy Lube on Bladensberg Road just over the DC/MD line for oil/filter changes, tire rotations, and topping up the fluids. It's family-run and they have a good team of hardworking younger guys there.
I like Costco for tires, free air and rotations (if you buy their tires).
I LOVE Auto Tech Services in Adams Morgan for any major servicing and tune-ups. They are phenomenal, read their Yelp reviews. I just got my car back today from a complete suspension overhaul. I won't take my car anywhere else for major work.
https://www.yelp.com/biz/auto-tech-service-washington