Yes, it is always better to disclose the tickets even if they are minor. If the USCIS thinks you lied to them, that can be a cause of lot of trouble.
You must have a copy of proof of payment/settlement for the tickets.
(Send it along with the N-400 application or bring it along with you for the interview)
I don't think it should have any effect on the Naturalization process but you might want to consult a lawyer for peace of mind (only because you were convicted for reckless driving). Regular speeding tickets are never a cause of concern. Better safe than sorry.
When it comes to USCIS, it pays to be Paranoid!