Get an external hard drive with a network port so you can keep your backups in another room which provides a little security against fire in addition to being a simple solution you can do yourself at home.
The next step is to get storage space in some remote location (there are very cheap monthly prices for servers for example) or to have several external hard drives and periodically switch between the one at home and a remote location. If you use encryption, this can be anywhere such as a friend's or parents' place or work.
