Help me write a puzzle!

“Hudson Hawk”

Henry Higgins

Hungry hippo

Happy hippy

Hints (from) Heloise (OK, so maybe that one doesn’t count.)

Hobbit hole

Henry Hyde

Horatio Hornblower
Howard Hughes
Hip Hop
Helen Hunt
Hogan’s Heros

(Some of these might have crept in as I was typing. I’m going to have to work on my speed. And quit previewing for all those typos.)

A Horse is a Horse (Of course, of course, even though it doesn’t fit)

Hard-Hearted Hannah (How can you pass up Ella Fitzgerald?)
hard-headed
Happy Homemaker
happy holidays
Harry Houdini
hired hand
home handyman
handyman’s helper
Handsome Harry (Mr. Pierpont, who was big in the Dillinger gang)

Finally, one you should have gotten yourself, twickster:
Henry Hook

Helen Hayes
hillbilly heaven

I don’t know how everybody (including me) could have missed:

Heartbreak Hotel

hog heaven
heavy handed
heavy hitter
hard (of) hearing
Ha! Ha! /nelson
habbo hotel
habitat (for) humanity
health hazard
hamburger hill
ham hocks
hammer head
holding hands
happy hanaka
hard hat
hat hair
head honcho
head hunter
hell hole
hershey highway
hillbilly heroin
hudson hawk
hugh hefner

Ju Ju (either Ju ju bees or bad ju ju )

Jumping Jiminey

joy juice (kickapoo joy juice)

Jessee Jackson

Jim Jones

jumbo jet
ju jitsu
jabber jaw
Jacksonville Jaguars
jerky jerk
jub jub

Zyada came up with someL

haunted house
hare and hounds
Hot! Hot! Hot!

That last one suggests:

Ho! Ho! Ho!
Hi, ho! Hi, ho! (It’s off to work we go!)
Heave-ho!

Hobby horse
High horse (as in “Get off your…”)
Henry Hudson
Henery Hawk
Happy Hairston (ex-Los Angeles Laker)
Happy Halloween!
Herbert Hoover
Hudson Hornet (car model)
Hull House (founded by Jane Addams)