The singer who recently separated from wife Katie Price wants Princess Tiaamii to feel at home in his new mansion, so has splashed out on the luxury items.
He said: "It's Princess' second birthday at the end of the month, so I will be throwing her a party at my new house. I've already bought her a pink TV and DVD player to go in her bedroom. I think she will love it."
The 'Mysterious Girl' star also recently helped son Junior celebrate his birthday and indulged the youngster's passion for cars when choosing gifts.
He added to Britain's New! magazine: "It was Junior's fourth birthday last Saturday, but because I was away I threw him a private party before I left.
We had a bouncy castle and cakes and, of course, he had lots of presents. Junior is into racing cars at the moment, so I got him some toy cars and a tricycle. He looks so cute riding around with on it."
Meanwhile, Katie's friend Michelle Heaton has revealed the 31-year-old ex-glamour model is still "heartbroken" and pining for Peter.
The former Liberty X singer said: "Katie is coping well. She's totally in love with Pete and can't believe it's come to this."