The transits of Uranus often show some kind of disruptive change happening in the environment. If it’s a family move, check out all the charts as usually there is something symbolic of change in everyone's horoscope. Transiting Uranus aspecting the Moon/4th house cusp often symbolises restlessness and unsettled feeling.
Saturn is also an important transit in the chart at the time of a permanent change in security, and it rules permanency and stability. My first house move from my parents home happened under transiting Saturn conjunct the Midheaven. It signified my entry into adulthood and making my mark in the world at that time. Astrologically, Saturn rules self-sufficiency, maturity and responsibility and is the planet of separation from dependency and illusion and forming a commitment to a life goal. I also had a major cycle occurring with transiting Uranus forming a square to natal Uranus. The transition is a generational one and occurs twice in our life, first in our early twenties and then in our early sixties. The first square corresponds to early adulthood and is time of increased freedom.