Good consultants tend to work themselves out of a job rather quickly. Because consultants move from job to job, from company to company, they are perpetual job-hunters. Finding new clients is no different than finding a full-time employer. The steps are exactly the same.
Most consultants know a lot of successful, influential people.
If you know consultants, call them. If not, meet some through friends. Ask for their advice and ideas. Typically, what happens is that one direction emerges as the winner. Either you land a full-time job, or you nail down several consulting assignments.