The 40-year-old singer and reality TV star's home is expected to fetch more than 2 million pounds, reported Sun online.
The six-bedroom home is set in a plush private estate near East Grinstead, West Sussex.
Peter, is looking for a bigger house in a more rural setting so his children - Junior, seven, Princess, five and adopted son Harvey, ten - can spend more time outdoors in the countryside.
Girlfriend Emily MacDonough, 23, is helping him in his search.
"They are not moving in together because Emily's still at university. He wants somewhere with a bit more ground for the children," a spokesperson for the singer said.