@Annetta , the simple answer is (a) since you are both with Green Card as of Sep-2019, you can file as MFJ and resident i.e. use TurboTax to prepare and efile form 1040. (b) this does mean that your world income comes under the US tax system, and generally you will be a resident for the whole year 2019.
Absent specific questions ( which I would gladly answer ) I would refer you to IRS Pub. 519 -- it is available at www.irs.gov ( both in html and .pdf version )
Welcome to the US of A ( even with all the current issues )
