How do you determine if an offense falls under "moral terpitude" or other criminals offenses as grounds for deportation?

You should discuss this with an immigration attorney - this is not something you should try and figure out on your own.

It is often difficult to determine whether a crime involves moral turpitude. Moral turpitude refers generally to conduct which is inherently base, vile, or depraved, and contrary to the accepted rules of morality and the duties owed between persons or to society in general. It has been defined as an act which is per se morally reprehensible and intrinsically wrong, so it is the nature of the act itself and not the statutory prohibition of it which renders a crime one of moral turpitude. In short, if often not as simple as it may seem. You should consult with a qualified immigration attorney who can review the statute in question and the facts of your case to make a formal determination.