Make a fuss of/over somebody
Definition 1 of 2
Pro Tip 1/3Affectionate Attention
Used to describe giving someone a lot of loving attention and care. 
At family gatherings, my cousins make a fuss of the youngest children, hugging and playing with them.
Pro Tip 2/3Positive Connotation
Carries a positive meaning, suggesting kindness and a caring nature. 
Each time I accomplish something big, my friends make a fuss of me with cheers and congratulations.
Pro Tip 3/3Often Exaggerated
The attention given is usually more than usual or expected, sometimes exaggerated. 
When I won the student elections, my family made such a fuss of me with a surprise party.