Beyond that, DreamHost is a top website hosting company for many reasons. It operate its own control panel, which is convenient and easy to understand. While phone customer support isn't available 24/7, it is responsive to live chat and tickets. The company uses super-fast SSDs for all its storage, has a free SSL certificate (for more secured web browsing) and provides SSH access for those plans that are intended for more technical users.
But, again, operationally it's quite strong. 24/7/365 customer support is available not only by live chat and email, but by phone. It offers free site migrations with some dedicated attention paid to making a transfer as smooth as possible. And, if you're willing to go for one of the higher-end plans, the company has put some serious attention into performance and caching.
On the topic of dedicated hosting, many web hosting services also offer managed hosting. This type of hosting sees the web host act as your IT department, handling a server's maintenance and upkeep. This hosting option is something that you'd typically find with dedicated servers, so it's a business-centric addition. Naturally, it adds a few bucks to the hosting cost, but nothing that should break the bank if you have the resources for a dedicated server.