Recommended solicitor for redundancy process

The important point here is not the size of the firm, but that you need a solicitor who specialises in (or is at least very familiar with) employment law. When I was made redundant and needed a solicitor, I used a medium-sized local firm with offices in two towns. They had a specialist business section within which was the employment lawyer that I used. I was perfectly happy with the fellow that I saw, but my situation was not complex - all I needed was someone to go over my compromise agreement with me.

Look at solicitors' web sites, and check whether they say that they handle employment law.

You might find it worthwhile to ask your employer if they know of anyone suitable in the area. (Of course, I'm assuming here that you're on good terms with them.)

It's also worth talking to any colleagues who are also beiong made redundant at the same time. Someone might have a recommendation. One of my colleagues found the chap that our team all used (six of us were pushed out together), and we got a reduced fee from him on the basis that he was handling several identical cases at the same time. Our employer offered a contribution of £200 each towards our legal fees, and the solicitor agreed to do us all for £200 each.

I know that you've said that your employer will pay the cost of a solicitor, but are you sure of this? The norm is for an employer to make a contribution of a fixed amount, and for the employee to have to pay the balance of the cost. I'd expect that you will probably find that you have to pay something: it's unusual for an employer to pay all of the cost.

Edit: for context, my redundancy mentioned above was ten years ago. I expect that current fees will be higher.