I've Uranus in my 4th house now, I noticed that I replied last year and had no intention to move, but things have changed dramatically. My 4th house is around 9/10 degrees Aries, it could be a bit later by a few degrees. I feel I will be moving due to many factors, none of them my choosing. I feel fate very much guiding me right now, I just have to flow with the changes. Due to my Mum recently having a stroke and being located in a hospital 4-5 hours drive away from where I have lived for the last 2 and a half years, I probably will have to move to somewhere a bit cheaper, at a friends house, so I can afford the travel that I will be doing up and down the country so I can see her more regularly while she recovers.
There are many other factors happening in my chart which relate to what's happening with my Mum, but the moving side of things I feel strongly comes from that unstable Uranus in the 4th transit. I'm going to be living down south part time at my friends, then splitting that with living up north in a Bed and Breakfast for a while.
I also look to the eclipses which are now in my 4th/10th houses, to signify major changes in those areas of life. I have also found, just from my own experience, the transits don't come into affect until they are about 1 or 2 degrees away from an exact aspect.