You would probably call a friend, colleague, or search on Google.
Specialized websites like Justia for finding attorneys benefit one company and that is Justia. Unless you pump a lot of money into a system like theirs you will absolutely not get the exposure to justify the spend.
There are actually a number of factors to consider with services like theirs.
They own your content. They control everything. You have no access to the file system, the server, customization, etc.