I don't live in the UK.
Gun crime is very rare there.
Not as rare as in Florida.
While this statement is true, it's not the whole point. What really puts all of this into perspective is looking at all crime, not just those committed with a particular weapon or modality. What's been happening over the past decade is that total crime victimisation has been increasing in the EU, including the UK, while it has been decreasing throughout the US, though more rapidly in those states that have a legal mechanism to allow law-abiding citizens who wish to to legally arm themselves. But don't take my word for it: the International Crime Victimisation Study is available on line here: http://ruljis.leidenuniv.nl/group/jfcr/www/icvs/data/i_VIC.HTM
In the US, it has long been estimate that roughly 650,000 crimes are committed every year using some sort of firearm. The other side of this equation, though, is that at least 2 million crimes are stopped by private citizens using firearms -- most often simply by advising the criminal that his would-be victim is armed. (see Kleck and Cates "Armed", November 2001 for further discussion)
Bottom line is that as counter-intuitive as it may seem to some, the way the real world works is summed up in Lott's book title: "More guns, less crime."