Katie Holmes is probably used to having the eyes of Scientology handlers glued to the back of her head so she doesn't take swimming lessons, fake her death on a yacht trip, or run away to a small town and fall in love with Kevin Anderson. But TMZ says that since Katie Holmes is going hard at Tom by filing for sole custody of Suri, Scientology has stepped up their spying game.

Katie has even moved out of the NYC apartment she shared with Tom.  TMZ says that in the past few weeks, Tommy has checked into a hotel every time he's been in town and hasn't slept one night in their apartment. Katie is living in a new apartment she rented weeks ago.  Also, Katie filed for divorce in New York, because she has a better chance of getting sole custody of Suri there.  But Radar says that Tom's lawyers will respond to Katie's divorce filing this week by asking the New York court to move the case to California. Tommy will file his own divorce papers in California for both tax reasons and Suri-getting reasons. Tommy doesn't want anyone to think their primary residence is in NYC, because that will jack his taxes all up.