I was told that if the house was too big for my needs, then a sale could be forced, so for example, if you live in a 5 bed, but could live in a 3 bed, then the H can force a sale. (I lived in a 2 bed so not an option in my case).
My solicitor also said the the courts judge it equally important for both parties to have a roof over their heads, but realistically because I have DD, then I would get maybe 70/30 split.
My solicitor suggested the Mesher, whereby XH would have got his share when DD turned 18, or I remarried, etc.
In the end, XH just signed the house over to me, as it was my capital that went into it and the equity was less than that, so morally he did the right thing although he was not legally bound to.
It would appear from comments on here, that different solicitors give different advice, so all you can do is find the best solicitor that you can.