I've moved from a flat in Glasgow to a flat in Motherwell (10 miles outside glasgow). Me and a friend did it in a transit in about 4-5 trips.
My advice would be to plan ahead. Don't leave your packing till the last minute. It is much easier to move when everything* is just ready to be bundled into a van.
Also it can be quite stressful if the dates of the payments and the moving dates don't match perfectly. I was promised keys on a Wednesday, my mortgage provider handed over some information late, the estate agents refused to give me keys on the said date, solicitors were arguing, the previous owner of my new flat lived in Australia and couldn't be contacted etc etc.
The only thing I'd do differently though is, decorate before moving in. I ended up living here for almost 4 years in decor which looked shite and which I hated. I wish I had just given myself a week or so to decorate before I moved.
*Except the kettle, mugs, tea, coffee, sugar and milk. People helping you move usually appreciate a cuppa.