There are an endless amount of tools to backup stuff in Linux.
For critical data files, I use tar & bzip are then copy them to a remote server using a date stamp as the file name. This way I have multiple archived full backups of the data. Hard drive space is cheap.
For Music and photos which take up a ton of space and are always changing, I used rsync between the servers.
Since you mention Acronis. If you are looking to back up images, take a look dd or one of the other imaging tools available.
The Cron syntax can be quirky, but once you learn the basics, it will cover 99% of your needs. Also, use variable in your backup scripts. It makes it much easier to recycle them in the future.