First thing to do is contact the County Court and advise that, for the moment, you do not have legal representation and that you request for your matter to be adjourned until a later date when you retain another lawyer.
Second thing is to have a look at the costs agreement, which you should have signed when you first retained your lawyer. There should be a heading to the effect of "termination of contract". If you feel that you have been wronged by your lawyer by the terms under the costs agreement, you should seek independent advice.
Otherwise, if you feel that your lawyer has acted within the terms of the costs agreement, request your file from the law firm and provide it to the next lawyer that you retain. However, in saying that, it is important that you ensure that it has been confirmed in writing that your previous retainer has been ceased before you start another.