I personally just use either Drupal, for complex websites because it's very customisable and flexible, or just write something in PHP with my own framework base

I personally just use either Drupal, for complex websites because it's very customisable and flexible, or just write something in PHP with my own framework base. For hosting, for smaller static-ish sites I register a shared hosting account and give the client login, for bigger websites a VPS just for the site, that I charge separately to update, and all ports except 80, 443, 21 and 22 are closed.