Start looking on the career boards for part-time positions. You can enter a search field just for part time work on sites like CareerBuilder.com, Monster.com.
I'd also recommend contacting temp/staffing agencies to see what they have available. A lot of companies in my industry have laid off full-time employees but have hired in contract employees.
Unfortunately, the business world is very tough right now. There are many articles on linkedin and Twitter talking about how over-worked employees are, but when people are scared for their jobs, they don't have much of a choice knowing that the job market is really bleak.
Good luck!