My daughter lives 500 mi away; not across the world like yours, but still a distance. We are lucky to be able to see them about 3 times a year.
Facetime or similar will be your savior. As tiny babies, I did all the silly goo-goo baby talk, peek a boo, etc, while my patient daughter held the phone in front of little ones! The boys are 7 and 4 now, and they know us and love us, even though we are not a part of their daily lives.
We have always sent little parcels, even though the price of the postage is more than the goods, but even a package of Smarties from Granny and Grampa for loosing a tooth is special to them and keeps us connected, and makes them feel special to get their own mail. You will find your own little ways to stay connected.
A friend of mine bought a few puppets, who would appear on her facetime visits with her distant GC's, and like others here, bought double versions of books so they can read at the same time.
Congratulations!
