How do I move a contact from group A to group B

Question

How can I move or manage my contacts between multiple groups

Answer 1

Hello Buzzbeer2,
It sounds like you would like to move a contact from one group to another.  You can do this by dragging the contact from one group to the other and then deleting the contact from the original group. 
Use the steps below to achieve this:
Add contacts to a group
Click All Contacts.
Drag one or more contacts from the All Contacts list to another group on the left.
You can add a contact to more than one group.
To select several adjacent contacts, click the first one, then Shift-click the last one. To select multiple nonadjacent contacts, Command-click them on a Mac or Control-click them on a Windows computer.
iCloud: Create a group and add contacts to it
http://support.apple.com/kb/PH2667
Step 1 above says to select All Contacts, but you can also drag a contact from another group.  Once you have added the contact to the appropriate group, you can remove it from the previous group by following these steps:
Remove a contact from a group
Select the group the contact belongs to.  If you don’t see your groups, click the Groups button.
Choose Edit > Remove From Group.  The contact is removed from the group but stays in Contacts.
Contacts: Edit or delete contacts and groups
http://support.apple.com/kb/PH11598
Thank you for using Apple Support Communities.
Best,
Sheila M.