What you can do without losing your home files is that you can do a install from the live cd and start it as normal. When it gets to the installation type screen, select 'Something Else', then click 'next'. You then select your linux mint system drive and click on 'Change'. You make sure it is the same file system, make sure the mount point is '/' and make sure there is a tick in the box next to 'Format the partition' then click on 'OK'. For your home folder, select that drive, make sure it is the same file system, set the mount point as '/home' and leave the box next to 'Format this partition' UNCHECKED. Then click on 'OK' then continue onto the rest of the installation. Whenit gets to the user creation screen, just make sure you have THE EXACT SAME LOGIN USERNAME AND PASSWORD as before. Then you will not lose any personal files whilst you are moving to Ubuntu or to any other Linux Distro. No need to shrink partitions, or setup a triple boot or a VM like your other replies that you got.
debootstrap
, but this is a rather lengthy process and there can go a lot wrong in that process, its completely done by hand more or the less, no installer no safety-net. – Videonauth Oct 24 '17 at 10:34