If you would prefer that those riders who are NOT following you cannot search for you under your name (First name, last name) you can set your profile to "Private"
1.Select Private under settings
2.Your name will be displayed as a system generated generic name
3.Let your friends know your private name
4.You will be totally anonymous to all riders except your followers
5.Your approved followers will see your full name and username
Once you approve a request from a rider to follow your profile (Don't forget to tick the option under privacy/who can follow my profile "Approval required"), your followers will then see your full name and username in your profile page and in any ride or team chat.