The club was forced to apologise to supporters earlier this year after a new design for the 2013-14 season sparked a petition of complaint which was signed by more than 22,000 people.
The club has promised to take the views of the supporters on board for next season's design, which will be the eleventh in Everton's history.
Everton have now launched an extensive consultation process inviting fans to complete an online questionnaire and apply to join one of a series of focus groups.
The final design for the badge will eventually by decided by a vote.
Director of communications Alan Myers said: "The 2014-15 crest will be the people's crest, make no mistake about that.
"All I ask is that the fans trust me, as an Evertonian, to deliver it to them.
"Every single supporter may not get exactly what they want but they will have the chance to give their input and shape the crest."