Please remember it is no problem to present the order of garnishment (attachment) to a court in another state and have it ruled on. So if they have already got a garnishment issues in one state, they will carry it to another state, it is not that big of deal to get it honored normally by another state.
A garnishment( attachment) will normally list all bank accounts and other wording, so yes, any account that has your name on it, if you name is on your elderly mothers account ( just an example) but it is her account, they will take all the money from it.
If you have a current balance of 1000 but really already have 900 written out that has not cleared the bank, they take the 1000 and you get bounced checks all over the place.
Next normally when they take money from your checking and savings it is called an attachment. A garnishment is normally where they file to have money taken from your payroll check when you are paid.
These are two different court actions ( sometimes done at the same time)
So if they are going a garnihsment, expect your paycheck to be alot smaller shortly. If they are attaching your bank accounts, expect -0 balance soon.