The former glamour model has been seen looking around Brownhealth Park, a luxury nine-bedroom country house in Durley, near Southampton.
It is reported the property also boasts six bathrooms, four receptions rooms, an indoor pool, cinema and gym.
It is thought to be perfect for 34-year-old star, a keen horse rider, as it has stables paddocks and 23 acres of land.
Local resident Anna Purse, 44, told The Sun newspaper: ''It would be nice to have a celebrity in the village.''
Katie married Kieran for the second time last week with a ceremony in Weston-super-Mare, in South West, England after they enjoyed a small wedding in the Bahamas in January.
The part-time stripper-and-actor was said to be brought to tears when he saw his new bride in her wedding dress, which she reportedly bought from a local High Street store.
A source had revealed: ''Kieran was overwhelmed with happiness. It was very romantic and him crying made everyone else well up, too.
''Katie looked incredible. Everyone gasped when she walked in.''