Pink, Willow Sage Malibu hat sunglasses coffee

Pink's got her hands full with baby Willow!

While the little tyke is absolutely adorable and super easy-going, this mom's got other things to worry about ... like carrying her shopping bags and her coffee!

The singer went enjoyed lunch alone, with her daughter in Malibu at Marmalade Cafe before heading to the Malibu Country Mart for some shopping at the children's store 98% Angel.

Obviously Pink is the raddest mom around so she's got it all figured out -- bags on her arm, coffee held safely away from her little girl's face. If anyone can do it, Pink can!