The obvious thing would be to check the tyres regularly with a visual inspection yourself also turning the steering full lock side to side to check the inside walls of the front tyres.
Once i went to pickup my kids from the ex and her car was on the driveway and i could see metal as the tread was so low and to think she had been driving my kids in that car. Back then i picked and dropped them off everytime. Now we share and it is still in the back of my mind and i gave her hell for it at the time and still would. If she had bothered to look she would of seen the state of them.
The tyre is the one thing in contact with the road and is just as important as having working brakes. Yes you could take it to kwik fit to check everytime but you can do it yourself, or get someone to do it for you if you cannot. Rac vid here https://youtu.be/xkCN7HjP54w
What happens if you have an accident on illegal/bald tyres?
Driving with tyres that have a tread below the legal limit – or even worse, are bald – is dangerous.
It can put you and other motorists at risk.
If you are involved in an accident and the car you are driving has illegal or bald tyres, you should be aware of the consequences.
Any insurance claim as a result of an accident could be invalidated, so potentially your insurer won’t pay out any money any repairs needed to your vehicle.
However, driving with dangerous or defective tyres also puts drivers at risk of a fine of up to £2,500 and three points on their license.
That is per tyre, so four illegal tyres could mean a fine of £10,000 and 12 penalty points
above info taken from rac https://www.rac.co.uk/drive/advice/tyres/checking-tyre-tread/