You don't say what kind of sobriety test you were given. If it was roadside "field sobriety tests," such as walking a straight line, turning and walking back, standing on one leg, etc., you would want to look at the videotape before deciding. If you did well, you might want to fight it. If not, take the deal, although it appears to be only for the DWI (which is the same as DUI). There should be a separate plea offer for the resisting arrest charges.
The resisting and being tazered could hurt your bargaining power a lot, but the plea offer you described is a pretty standard one in Texas for a misdemeanor dwi. It is not, by the way, the defense attorney's offer. It's what the prosecutor told the defense attorney that the state is offering.
And, she does not work for the state. She works for you, but the state has to pay her if you can't afford to, because the Constitution gives you the right to have a lawyer if you are at risk of going to jail.
Transferring the case is not possible, if I understand the question. Transferring the probation within the state is easy, unless you have a bad record; transferring the probation from one state to another can be difficult, but might be possible. It depends on multiple factors.
BTW, if you get a dwi with a child in the car, it's now a felony (as of about 2 years ago).