I help brands huge and small crystalize precisely who they are. I create brand names, messaging, and copy backed by strategy and research. https://liebagoldenkoulendros.carbonmade.com/
I've worked with brands huge and small to stake their territory and rise to the top. For 15 years, I've developed sticky brand names, messaging, and identity strategy.
If your first or last given name has recognition in your field, then you may want to build on that equity by using your own name followed by a descriptor. For example, a lot of salons are named after the owner/stylist because people are specifically looking for that person. Unless your name is somewhat unique and you have that recognition, I would avoid this approach.
Have you done the research to see what other similar offerings call themselves? That's step number 1.
Also, remember, businesses are bombarded with similar offerings so you'll need to stand out. So, instead of saying 'local marketing,' you may want to allude to the emotional/human benefit by stepping a bit further out. For example, there's a great data marketing firm called Streetbees - this tells a bigger story about their street-level insight, collaboration, and busy-ness.
I'm happy to help further if you'd like to connect!
Best of luck!