The show will be broadcast on the Bauer Media station between 12pm and 2pm, and the first will be this weekend on 6 February.
Heat is preparing to go live on the second national DAB digital radio multiplex in the UK. It will be operated by Sound Digital, a consortium of Arqiva, Bauer Media and UTV Media.
Ric Blaxill, the music and content director at Heat, said: "Peter is a big signing for the station and his arrival will add even more strength to the talent on our roster as we prepare to take heat national on digital radio.
"Peter is a household name, he’s got a real charm about him and some great stories up his sleeve to tell in between the music."