My company, Harness Media, offers Website Care Plans. These plans include premium web hosting, SSL certificates, server-level firewall, spam protection, 24/7 malware scanning, automatic WordPress updates (for WP core and plugins), and much more. But sometimes I work with clients that already have a good understanding of ongoing website maintenance or they have an IT team with web capabilities, and they want to manage the maintenance issues themselves. In those cases, I recommend Pressable for their managed WordPress hosting needs.
My experiences with Pressable have always been positive — they are reliable, capable, and obviously interested in your success. Check them out!