Moving house might be an important transition in older people’s life trajectory as it implies leaving a home where they have been living for a long time, leaving a place to which they are emotionally and socially attached, and sorting or getting rid of meaningful furniture and objects. Drawing on sociocultural psychology and a dialogical conception of the Self, we hypothesize that this transition raises an important challenge: keeping a sense of self-continuity and developing various resources to face these changes. To explore this hypothesis, we conducted 19 semi-directed interviews with older persons who decided to move in a smaller appartement designed for ageing people, and are about to move. We focused on the process that led to their decision to move, on the needed sorting of furniture and objects, and on the resources mobilized to keep a sense of self-continuity. The results showed that: (1) the decision to move was a long-lasting social process which resulted in the persons’ perception to be the authors of their decision; (2) the participants’ discourse often took the form of an argumentative interaction that can be interpreted as the expression of psychological conflicts; (3) the sorting of furniture and objects prompted the participants to revisit their life narrative, to make projections for their future activities and to transform the meanings of their objects.