KEITH'S GAG RULES FOR GALS

Cruisin' crooner keeping his dating life on down-low

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Women Urban dates must sign a nondisclosure agreement, a source spills

HOT and ready to trot Keith Urban is keeping his postdivorce romantic life on the down-low with some strict, non-negotiable dating rules.

The country crooner, 58, is determined to keep all the women he sees a total secret, especially from soon-to-be exwife Nicole Kidman, also 58! "Keith has always been private, but now that he's going through this divorce, he's extra secretive," a snitch tells The National ENQUIRER.

Keith shares daughters Sunday and Faith with Nicole Kidman