I have learned based on my own recent personal experience, that theft or larceny of any type (petit or felony) is considered a crime of moral perpitude, which means that they will question your ability or desire to be a productive and law abiding individual, which can definitely affect your immigration process.
A criminal defense attorney can assist you with this matter, and if in fact your record is truly clean, you will probably receive minimal punishment (fine, probation, deferred adjudication, etc.) from the prosecuting court, but as far as immigration is concerned it is a whole different matter. They will take the moral perpitude issue into consideration. Your attorney may be able to help you with that or they may refer you to an immigration attorney.

