Set your My Info card for Safari, Siri, and other apps. Go to Settings > Mail, Contacts, Calendars, then tap My Info and select the contact card with your name and information.
Let Siri know who's who. While editing your My Info card, tap Add Related Name to define relationships you want Siri to know about, so you can say things like "send a message to my sister." You can also add relationships using Siri. Say, for example, "John Appleseed is my brother."
Find a contact. Use the search field at the top of the contacts list. You can also search your contacts using Spotlight Search.
Share a contact. Tap a contact, then tap Share Contact. See the Getting Started section -> AirDrop, iCloud, and other ways to share.
Change a label. If a field has the wrong label, such as Home instead of Work, tap Edit. The tap the label and choose one from the list, or tap Custom Field to create one of your own.
Delete a contact. Go to the contact's card, then tap Edit. Scroll down, then tap Delete Contact.