Good question! Handyman is more specific to general jobs around the home, retail areas, smaller construction jobs and refers to having more than one skill to be able to repair or install things. Jack-of - all - trades, I believe can accomodate a larger range of skills, that include household jobs as mentioned above, but could also include other skills in a wide variety of occupations. Sometimes the expression 'Jack of....but master of none' can be somewhat negative depending on the context and intonation. If you end the sentence with '...better than a master of one' it makes it a sure compliment.