You don't have to go through a solicitor. If you contact the driver's insurance company you may decide that you're comfortable dealing with them directly. Also, as said above, I would claim for injuries received. You may also want to consider claiming for damage to clothing and other items.
I did this last year after being knocked off and felt that I was treated fairly by the insurance company. My claim for physical damage to a mobile phone (damaged in my pocket) was settled very quickly. In my case my bike wasn't damaged enough to claim for, but I received £1000+ for the injuries I sustained (cuts and bruises, on crutches for a week or two).
I had similar with my incident with a bus. TBF, only superficial injuries but a damaged bike and clothing, cost of repairs circa £500, bike cost £600 when new. In my case the guy denied responsibility, but once it'd gone through court, found guilty, i contacted the bus companies insurers and we 'negotiated' a settlement quite quickly....after i let them know they hadn't a leg to stand on and i was sure they didn't want the hassle and financial pain of me going through a solicitor or claims company. Initially they offered £500 (IIRC), i refused and they immediately upped it to £800 (IIRC)
Now some will quite rightly say a solicitor could have got more...but i was happy with the offer, and it was quick and painless. Go through a solicitor, you'd probably get more, but you can guarantee a solicitor will stretch it all out to maximise his income from it all.
And then...my injuries were superficial....perhaps if they were worse and could theoretically flare up in the future, perhaps a solicitor is the best way to go...i know doing it myself, as far as the insurers were concerned, mine was a one off payment, then everyone washed thier hands of it (so's to speak).
Hope you're ok Red, GWS.