I'm self-employed as an accountant in public practice. Accounting can be a hard field to break into, as employers often want 2 years experience even for junior positions. Once you get those 2 years, though, you become rather in demand.
There are 2 broad kinds of accountants, public and managerial. Managerial accountants work in the accounting department of a business. Public accountants are employed by accounting firms, or are self-employed. I prefer public accounting, due to the variety of work. Others prefer managerial accounting. Its purely a case of personal preference.
Pay is decent in the field, although long hours are sometimes required. That is especially true of public accountants during tax season.
As a side note, answers which imply you need to be a leading graduate from a prestigious university to get into the field are incorrect. In the real world, accounting firms are usually looking for entry level people who are willing to work long hours. They then will burn out those new hires, who then jump to a better accounting job once they get 2 years experience.