花か卉き栽さい培ばい家か

• 花か卉き園えん芸げい

  花卉園芸 is floriculture (the field or practice), while 花卉栽培家 is the person who practices it.

• 園えん芸げい家か

  園芸家 is a broader term for a horticulturist, not limited to flowers.

Compound of 花卉 (flowers) + 栽培 (cultivation) + 家 (person who does something).