I would agree that it's important to have a face-to-face meeting with a (preferably local) solicitor. It shouldn't be difficult to find one. I ended up with a great solicitor that was within walking-distance of my home. His supportive attitude over many months has been invaluable to me. I believe that most compensation claims are dealt with on a no-win-no-fee basis, just because of the potential complexity of this type of case, and therefore the large sums involved.
It really pains me to see someone trying to deal with a situation they are not qualified for, and possibly getting a raw deal as a result. Being in the hands of a professional will take the anxiety away, and maximise the settlement. What's not to like about that?
Edit: Any solicitor who deals with accident claims will be able to easily handle this case. There's no need to find a cycling-specific one.