Same thing happened to me last year.
I went to an independent solicitor and started one of those no win no fee jobbies.
Make sure you have a good case for a claim, they’ll probably advise you and tell you if they have a good chance of a win.
There was loads of paper work in the end and I sacked it off.
I contacted the other parties insurers and told them I had started the “no win no fee” claim process. This kicked them into gear and they just sent me a cheque in the post themselves. Wasnt as much as I would have got if I’d continued with the solicitor, but I just wanted enough to cover my losses so I was happy.
Hope this helps