Sorry to hear about your injuries

I'd reiterate that it's probably a good idea to seek professional legal advice. It might be worth speaking to Slater and Gordon, who provide legal cover for CTC members, they offer no-win no fee style claims for non members too.
https://www.slatergordon.co.uk/personal-injury/cycling/
There are of course others, but its a starting point. Any decent lawyer should liase with the driver's insurance company for you, so you don't have to. Given that your bike has suffered damage and his car is damaged, it's likely he will be going through his insurers anyway as his repairs will probably cost more than his excess.
Hope you are feeling better soon, and glad you are seeking a professional opinion on your injuries too. Personally I'd have taken the opportunity to go with the ambulance to hospital, better safe than sorry.