Someone a mile away searches for exactly what you do and gets three other businesses. This is the most frustrating version of poor visibility, because the demand is right there and local search has its own rules — it isn't the same game as ranking a page.
Two different results, two different problems
A local search usually returns a map with a short list of businesses, and below that ordinary web results.
Getting into the map listing depends mostly on your business profile with the search engine, not on your website. Ranking in the web results below depends on your website in the usual way.
Diagnose which one you're missing, because they're separate problems with separate fixes.
What the map listing depends on
A claimed, complete, accurate profile. The single biggest factor and the most commonly neglected. Unclaimed profiles exist for businesses that have never touched them, often with wrong information.
Complete means every field: categories, hours, service area, services, description, photographs. Incomplete profiles are outranked by complete ones in otherwise equal situations.
The right primary category. Chosen from a fixed list, and it carries real weight. A business filed under a near-miss category loses searches it should win.
Consistency across the web. Your name, address and phone number should match everywhere they appear — directories, your own site, social profiles. Inconsistency makes it harder to establish you're one business.
Proximity, which you can't change. Local results are strongly influenced by where the searcher is. You will not rank in a map listing across a large city from a single location, and no amount of work changes that.
Reviews. Volume and recency both appear to matter. Reviews are also what people read before choosing, so they do double duty.
If you don't have a physical address
Common for service businesses working from home or travelling to clients, and it's handled through service-area settings rather than a displayed address. Set the area honestly — overstating it doesn't help you rank and does mislead people.
What to do about your website
One page per service, each naming the place. Not a single page listing eight services for five towns. A page that actually addresses roof repair in Scarborough can rank for it; a general page can't.
Say where you work, in text. Service businesses frequently assume it's obvious. It isn't to a search engine.
Keep hours, phone and area current. Wrong hours cost you customers who turned up.
What doesn't work
Keyword-stuffing your business name on your profile — it's against the rules and it gets flagged. Fake reviews, which are detectable and risk the listing. And making a page for every town within fifty miles when you only serve three; thin location pages tend to fail and they clutter your site.
The order to work in
Claim and complete the profile. Fix the category. Get consistent across directories. Ask satisfied customers for reviews, regularly rather than once. Then improve the website pages.
Most businesses do that order in reverse and wonder why the website work didn't move the map listing.