Changing lawyers is a big step and from your question, it is clear that you have not thought this through and are far from sure what to do. You have a lawyer, and unless your lawyer is letting you down in some way, you would be well advised to let your lawyer handle the negotiations and keep quiet about getting another lawyer. You have absolutely no business suggesting to the other side that you are thinking about changing lawyers. It would be a slap at the lawyer you now have, and would not send the message you want to send. See how the negotiations go. If there is an offer consider it on its merits. If there is no offer you will have no choice but to fight on, and at that point you can decide whether you want to change lawyers, or perhaps take on the "better" lawyer as trial counsel without discharging your present lawyer.
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Unless the matter is settled soon, I would retain the better attorney and follow his/her advice. Don't let the other side know your plans on changing attorney's as you will simply undermine your present attorney.
If you are the party and are represented by counsel, then you should not be communicating with the other side at all. You can explain your plans to your current attorney and have him or her communicate to the other side. Or, if you aren't happy with your current attorney, just go and hire the new one, and let the new attorney handle the case.