You can file in your local court. Most states only require that the petitioner has been a resident for at least 6 months in a state for that state to have jurisdiction over a couple's marriage.
The impact on each of you would depend on where you are (i.e. community state or not). Either way, however, since you have been married for more than 10 years and she does not have income, you will most likely have to pay her alimony until she remarries. As your son is very young, she will likely gain custody as well, in which case you will have to pay her child support in addition to alimony.