public lawyer or private lawyer?

a public lawyer? do you mean public defender? No. those guys roll over and take the easy way out. They do however have a lot of experience with criminal cases. Find a decent lawyer with a lot of criminal law background. If this is your first offense you should be fine. While the public defender is cheap they generally do not spend a great deal of time on your case.

Public defenders are NOT the way to go. They are notoriously underpaid and overworked. They are forced to push cases through to keep up with their workload. So you get burnt out lawyers who don't give a damn. Their pay is ridiculously low. At one time my sister was going to be one but they only offered her $32,000 a year. Private lawyher, on the other hand, can make millions. Truely! Be careful though. Some (though certainly not all) lawyers can be crooks. They can say, "Oh, ya. We can win this case." just to string you along and hook you as a client. They have to make a living, you know. LOL. Make sure that they graduated from a good school also. In many states private lawyers are required to do pro bono work. Ask what they have done. If your income is low enough perhaps they will take you on pro bono

Go for private lawyer because they more experience

You'll spend a fortune on a private attorney. Public defenders don't cost anything. (You have to make below a certain income to qualify for a public defender.)

Good luck.