If you have a substantial shunt and you are blameless then consider a no win, no fees claims solicitor - they can work in your favour rather well - just be careful who you choose and get the 'No Win - No Fee' bit in writing. I was very pleased with the one I used, clearly knew what they were doing and they didn't charge me a penny.
Sorry to be picky, but I just wanted to make a distinction.
A lot of 'no win no fee' solicitors work on exactly that premise - if you don't win compensation then everyone walks away empty handed. If you do win compensation, then they take a cut of it.
In a straightforward motor injury claim, this shouldn't be necessary. You're entitled to free representation, with nothing to pay from yourself whether you win compensation or not. You'll see these people advertising that "they won't take a penny of your compensation" - they're the ones to try first. Only move into the realms of "no win, no fee" if you can't get someone to take up your case on this basis first.
When I got the Lag 1 back after a rear-end shunt, they'd killed the battery by letting it run flat and leaving it like that (though I couldn't prove it) and they also didn't bother to reconnect the locking solenoid for the fuel flap. But apart from that, I have to say they didn't do a bad job. They also fitted the car with a better towbar than the one I'd had on it before. I specifically asked for a Witter (because I didn't want to end up with a budget brand) and they gave me a Brink