The Final Orders you are both seeking are exact opposites? If I read correctly this would be child lives with one parent and spends time with the other parent EOW, from Friday (school pickup) until Monday (school drop off) and 1/2 holidays?
Reasonable orders given the distance. A negotiation point could be that if your orders are granted mum could have the kids for an additional weekend every 5 week period?
I realise you have said that you have recently bought a house with your new partner and that you are seeking for the children to live with you, but I do like sammy's suggestion of you looking at the possibilities of moving closer to the children. This would definitely make shared care more of a possibility and may significantly reduce any need, for either of you, to go to a final.
It is refreshing to hear a litigant speak nicely of the other side. All credit to you.