We moved a month ago with the same combination of kids. It was hard work but OK.
I decided to throw money at the problem and had the removal company pack us up. When I looked at the money it wasn't THAT much more and it really saved my sanity.
We stayed with friends for a few nights across the move - and roped in the grandparents so we had some time to clean the house before our stuff arrived. The house REALLY needed cleaning and they'd left a lot of stuff which I freecycled and got out of the way before our stuff arrived.
Declutter BEFORE you move. I went through each room and chucked out rubbish or did charity shop runs. Make sure you aren't transporting stuff that you'll not be using in the new house.
I put a box in each room for stuff to keep out from the packers - a few toys for each of the kids, cleaning products and tea-making stuff. Whatever you know that you will want to lay your hands on easily. I would also put out some clothes for you - our room came last on the unpacking priority list and I was in the same clothes for about three days until I at last got to the boxes with useful stuff in them.
I took our three year old to see the new house without furniture and also the old house once it was empty. I think it helped her to understand the transition.
Keep a notebook in your bag with all of the useful addresses and phone numbers that you think you might need - agents, movers, solicitors etc.... And you can put your final readings and opening readings for the utilities in it too so you don't mislay the envelope that your DH wrote them on.
I also had a closing down check list for the old house and a start-up list for the new house - in terms of who to notify, readings to take etc....
In the book I also kept a running Change of Address list so that as people occurred to me I wrote them down and then I spent one night doing all the changes of address - banks, council tax, child benefit, DVLA etc...
Fish and chips for the first night in the new house.
Good luck and hope it goes smoothly.