Come on mate. Hardly any BSE cases nowadays (last in 2015 I think) and the regulators are well on top of it when there is a small breakout. Hundreds die in the US from salmonella each year, none in the UK in the last few years. Chlorine's not the biggest concern, it's that it's used to cover for lower hygiene standards and doesn't seem to work completely.
I don't even eat meat but I'd rather those that do stay healthy.