Handle/treat, etc. somebody with kid gloves
Definition 1 of 1
Pro Tip 1/3Emotional Sensitivity
Used when someone might get upset easily or is in a vulnerable situation. 
His recent break-up has left him raw — we’ll have to handle him with kid gloves.
Pro Tip 2/3Cautious Treatment
Applies when there's potential for conflict or a delicate issue is at stake. 
The negotiations were tense, so we treated the partners with kid gloves.
Pro Tip 3/3Cultural Nuance
Understand it’s a metaphor for being extra careful, as one would be while wearing actual soft gloves. 
You'll need to handle that antique vase with kid gloves; it's very valuable.