The initial idioms of the letter H

have a glow on	have a crack at
have a go (at something)	have a go at
have a head for	have a good arm
have a good command of	have a good day
have a (good/solid/sound/etc.) grasp of/on (someth	have a good head on shoulders
have a good mind	have a good name (somewhere or in something)
have a good one	have a good run
have a good run for money	have a good time
Have a good trip	have a grasp of
have a green thumb	have a grip on
have a hand in	have a hard time
have a hard-on	have a hard-on for someone
have a head	have a head start
have a heart	Have a heart!
have a heart of gold	have a heart of stone