Put the next three open appointment times on the home page
The fastest way to convert an anxious reader is to show a specific time they can take, not an invitation to get in touch.
Real availability beats a contact form by a wide margin in this trade, because the reader is trying to find out whether anyone will actually see them. Three visible slots answer that question before they read a word about your credentials.
Include at least one early slot and one late or weekend slot in what is displayed. In a valley where a large part of the workforce is on shifts, a calendar showing only midday Tuesday tells a night worker the firm is not for them.
If you cannot open a public calendar, publish a callback window you will honor and make the phone number tap-to-call at the top of every page. A promise you meet is worth more than a calendar you do not maintain.
Keep the booking flow to the fewest screens possible. Every extra step is a place someone stops.