Go to System Preferences on the Old Mac, locate Start Up Disk in 4th Row of Icons, Select Start Computer in Target Disk Mode.
On New Mac /Applications/Utilities/Migration Assistant
Once in Migration Assistant Select From Another Mac, Startup Disk, Time Machine Backup, or Disk
Then on next Screen Choose from a Disk
To Migrate Old Photos, Music, and Documents select and check Users and choose Specific User
Choose Applications to Migrate Applications, other data and settings as well
If you encounter the Problem, where the username of the old folder is the same as the username of the home folder on the New Mac, Look at PH14081 and complete steps 6-15 to merge old folder with new folder.
http://support.apple.com/kb/PH14081
6. Change Name of old folder to accountname1
7. Migrate
8. After Migration Go to New Admin User, Create a Test User, Log out of new Admin and into Test User
9. When in Test User Delete New Admin User and Home Folder, Do not do this Securely as it will take some time to complete
10. Once New admin and folder are deleted go into Finder select Username1 Folder, Control Click or Two Finger Click for Trackpads > Select Get Info, Change accountname1 to accountname
11. Go back into System Preferences> Create New User with "accountname" as new accountname, set Admin Password>Select Create New User
12. Dialogue Box will Appear A folder already exists with this Username>select use Existing Folder
13. Log out of Test User into Username>System Prefrences>Delete Test User