How do you get a professional email address for your website?
You need three things: your own domain, an email service, and one DNS connection between them. Some builders and hosts bundle mailboxes (IONOS, Hostinger); otherwise Google Workspace or Microsoft 365 at a few dollars per month per user is the professional standard.
An address like info@yourbusiness.com outperforms a Gmail address everywhere it appears: on quotes, in search results, in spam filters, and in customer trust. The plumbing is simpler than it looks. Your domain (which your website already uses) can receive mail the moment an email service is attached to it via a few DNS records, and every serious provider shows exactly which records to paste where.
The routes, in order of popularity: bundled mailboxes from your host or builder (IONOS and Hostinger include them; Wix and Squarespace resell Google Workspace) are the path of least resistance. Standalone Google Workspace or Microsoft 365 is the professional default: world-class deliverability, calendars and storage included, and your email stays independent from your website platform, which you will appreciate the day you migrate the site. Budget alternatives with strong privacy angles exist too, but for a business, deliverability is the feature that pays.
One warning from practice: avoid the free trick of forwarding domain mail into a personal Gmail and replying from there; replies then arrive "via gmail.com", which looks broken and increasingly lands in spam. Pay the few dollars; email is the one channel where amateur signals cost real money.