There are a lot of jobs and businesses out there that deal with genealogy, but really I don't think its very viable as a career objective or area of study. Those that deal directly with genealogy are historians. History as a general area of study is already a fairly narrow career path, and genealogy even more so. The fact is, most of the jobs available in these genealogy businesses are likely data entry, customer service, sales, as well as IT personnel, computer programmers, business professionals, etc, and the people who work those jobs probably do very little that actually has to do with genealogy. I suppose I can compare it to my own job in which I work for a company that handles student loans, but I, along with a huge percentage of other people within the company, do absolutely nothing within my job that requires even a sliver of knowledge about loans.
Getting your diploma is an excellent idea, and just that will open up so many more doors for you. After that, you'll probably want to think about starting out by taking some classes through a tech college, or enrolling in a degree program. I would highly suggest some communications and business classes as these are some of the basic requirements for advancement within most companies, and basic requirements for a wide variety of careers.
I know a lot of people who have found entry level jobs with a decent company and then have taken advantage of tuition reimbursement programs to further their education as well as their careers at the company's cost. This may be something to consider as well.