The connection is easy; give Jim Moriarty a phonejack and a computer and he can go anywhere he wants. It's ensuring the security of it that he's spending extra time on. After all, if they are traced back to here, it won't be the six-year-old who will fall under suspicion, and he doubts Matilda would be inclined to forgive him if Jenny ended up in federal prison.

Eventually, when he's satisfied they're invisible, he sits back and says,

"There we are."