1. You need change the registration link from core to User component, it could be done follow ways:
a. replace Joomla registration module to User one from download section,
b. hack your login module, replace core registration link to User one like it is described here for core login.
c. you can create registration link in any menu you would like using the menu creation wizard: Joomla backend admin>Menus>{choose menu where you would like put User registration link}> Click on add new button Choose here .User component and choose here ‘user register form’ layout, fill all the parameters and save link.
2. After registration link are created you need care about change ‘my details’ link, usually this link are located in usermenu. Again you need go to Joomla backend admin>Menus>User Menu> Click on add new button Choose here .User component and choose here ‘my details’ layout, fill all the parameters and save link. Disable core my details and enable new created link
3. The last thing is usually care is disable user registration from core registration form, current version of component has separate settings for allow registration so you just need disable registration for core Joomla and enable them for User component. But basically there is some core links that should be hacked as well, good alternative you can use disable core registration plugin: ADJR - Disable Joomla Registration - Joomla! Extensions Directory http://extensions.joomla.org/extensions/access-&-security/authentication/1236/details