General Brazilian
desapegar-se, distanciar-se
Most common usage in everyday speech
São Paulo
se afastar, se desapegar
Standard usage, no significant regional variation
Rio de Janeiro
se distanciar, se desapegar
Common in both formal and informal contexts
Portugal
desapegar-se, afastar-se, desvincularse
May use 'desvincularse' in more formal or legal contexts