I noticed that Chiara's backup HD (which has a capacity of 1.8TB, vs the main drives 2TB) was near to getting full, meaning that we would soon be without a local backup. 

I freed up ~200GB of space by compressing the autoburt snapshots from 2012, 2013, 2014. Nothing is deleted, I've just compressed text files into archives, so we can still dig out the data whenever we want.