The decree came through on Tuesday, the women rushed to the orphanages.
"It was an amazing day, just so special, what we'd hoped and dreamed it would be," Bonner said.
Both aim to leave on Tuesday.
Meanwhile, they've been doting on the kids, who are keeping their Russian names as middle names and getting new first names — Jaymi Viktoria Bonner and Gabriel Artur Preece.
The children have already brought some cheerful surprises to the toy-laden hotel rooms where they're staying until the flight to the U.S.
"As soon as he saw the bathtub, he wanted a bath," Preece said. "That's been his favorite thing to do, sit in the warm water, sit and splash in the bathtub."
The pleasure of finally having the children has smoothed over much of the last month's distress and the women expect to leave Russia with favorable memories.
In light of ombudsman Astakhov's criticism of American adoptions and frequent complaints that adopted Russian children face abuse and even death at the hands of their new parents, "We were very surprised that he had appointed that attorney for us," Preece said.
"It makes us hopeful for the other families that have met their children and really would like to finish their adoptions," she said. "It makes us hopeful that they will do the right thing for these families as well."
At the time the ban went into effect, 46 adoption cases went into the legal limbo. U.S. officials have not said how many cases have been resolved.