The Human Rights Act (1998) translates those rights into primary UK legislation.
Now the problem is that the current government is desperate to get rid of the HRA, because of a mixture of authoritarianism and ridiculous and often plain false tabloid stories about criminals supposedly getting away with crimes because of "human rights".
Thankfully, the current cabinet has at least one minister - David Davis, ironically in charge of Brexit, - that's been a firm defender of the HRA to the extent of in the past staking his position on it.
Now, if he's booted from or leaves cabinet, we should be worried as in that case it's a good sign May is about to take her authoritarianism one step further.
David Davis is also one man with basically no power-base in the party. It's not a coincidence that he was handed the hottest seat in cabinet this time around, the one most likely to fail no matter what he does.
Given the ECHR was drafted based on the work of British lawyers I'd like to see what we come up instead, certainly something that we can persuade everywhere else in Europe to sign up to.
Pulling out of it tells every tinpot wannabe dictator that it's perfectly fine not to sign up to basic human rights.