United Kingdom, Sept. 26 -- Lady Gaga wants her daughter to have a "normal childhood".

On September 11, it was reported that the 40-year-old pop megastar and her 42-year-old entrepreneur fiance Michael Polansky secretly welcomed their first child together and Gaga is already making plans to keep their family life as private as possible.

A source told the New York Post's Page Six: "Gaga and Michael have really been enjoying their little family bubble. They've started taking Rose on little outings together, but for the most part, they're keeping things very private.

"[Gaga is] fiercely protective of her daughter and very particular about who she allows into their inner circle and around the baby.

"She has always valued her privacy, but ...