Should I disclose my new construction employer when resigning?

It is probably best NOT to mention where you are going during your resignation or during the days awaiting your departure. There could be emotional connections with your current employer and your new employer that might ignite sparks once they learn of your defection. Many employers consider your leaving them as abandoning the team and defecting to the other side, regardless of where you go. You lose the team the moment your resign and become an outsider or a traitor at worse. Some employers may even share confidential info or share rumors to discourage you from your new decision to leave, and some may even imply falsehoods to derail your momentum. Placing yourself in a position to defend your decision will be a frustrating experience that can be avoided by keeping the new employer's name out of any discussions.

It is safest to tell your employer you will be happy to discuss those details about where you are going after they have had a chance to introduce the new hire to their employees - often times new employers will request your silence until then.