Richie and Madden moving in together

Nicole Richie and boyfriend Joel Madden are currently house hunting in Los Angeles - just three months after the pair began dating.

The Simple Life star pleaded not guilty on Tuesday to a charge of driving while under the influence and faces up to a year in jail if convicted of a second DUI.

Richie, who lives in a West Hollywood condominium, and Madden, who has a house in suburban Glendale, are searching for a new home to live in together.

A source tells American publication Us Weekly: "Nicole hasn't moved in with him yet...but they are looking at places."