By appointing your own lawyer, you have someone whose primary responsibility is to protect your interests.
Your lawyer can explain important contractual terms, identify potential risks, advise on timelines, and assist in resolving issues that may arise during the transaction.
Moreover, isn't it ideal to get a lawyer that provides all the updates of your case regularly rather than a lawyer who needs you to knock him/her every time an update is needed.
A property transaction may last only a few months, but its legal consequences can last for many years.