I've used Carbonite for both my business and home for a few years without problems - I also have a portable USB external Hard Disk and a NAS box using Yosemite Filekeeper as a continual backup solution - both Carbonite and Yosemite back up on a continuous basis - you don't have to remember to back anything up, it's all done automatically.
Perhaps I'm paranoid but a thief would probably nick all the IT kit, including any external hard disks & NAS boxes, and a fire would certainly destroy every thing so I try and cover all bases - and it gets glowing praise from out ISO auditors as well.
If I recommend a friend to Carbonite we would both get free time - just need an email address.