The tags that control your share card
Four Open Graph tags do most of the work: og:title (the headline), og:description (the line under it), og:image (the picture — 1200×630 pixels is the safe size) and og:url. X/Twitter reads its own twitter:card tag to decide between a small summary and a large image card, falling back to Open Graph for the rest.
For a local business the highest-value fix is almost always the image: shares with a real, correctly-sized image get dramatically more attention than the grey placeholder card. Use a photo of your premises, team or work — not a logo on white.