heartless
Halt.
hate
Haste is a synonym for in a hurry. It begins with the letter h.
Something to do with help: helping, helpfulness
Heavenly is a synonym for tasty.
hospital
hot
Hard is a synonym for tall when tall means difficult or not easy. For example, that is a hard (i.e., tall or difficult) order to follow.
hard is the antonym of easy happy is the antonym of sad
http://thesaurus.reference.com/browse/boastful There are some good entries here, just look at all the h-words.
HOP is a verb right? It also starts with letter "H"
The phrase "to lift" means to pick something up. There are several different words that can be substituted for it. Synonyms for it that begins with the letter "H" would be heave, heft, hike, and hoist.