That's where his other, more famous ex, Sandra Bullock, owns a home.
Lindemulder, a former porn star who lives in California, wailed when the Orange County, Calif., judge announced the decision. "I'll move! I'll move!" she cried.
"I can't get attached and let her go!"
Whether she actually will move is debatable, since she just got out of a halfway house and is likely unable to leave the state without the parole board's okay.
James and Lindemulder faced off in a week-long trial.
The motorcycle mogul claims that a move to Austin would be for business purposes, although he was quoted in an online interview saying another reason is so his three children can maintain a close relationship with stepmom Bullock.
The two were set to adopt baby Louis together, but following the shocking cheating scandal that ended their marriage, Sandra will now raise the boy alone.
Lindemulder accuses James of moving to exclusively try to win back Bullock, who is close with the child, at the expense of her own relationship with Sunny.
The judge said James and Lindemulder will have joint custody but James can take Sunny to Texas at the start of her new school calendar, in mid-August.
Until then, Sunny will be with her mom, who James says is a threat to the child, or at least could be if her recurring addiction problems surface yet again.
