They do not have to split property in order to get a divorce. The issue is that if they get the divorce they have 12 months to file for property if they cannot reach an agreement.
They can file a divorce application without the other party's consent and all they have to do is serve them with the papers.
The DIY application kit is on the following link
If the other side does not agree to a property split then they have to file an application to have the court decide.
Moving out does not have a negative impact on your rights but the longer you leave it to file your application after moving out the more the other party can argue that they have made more contributions since you moved out.
It is best to move out and file the application as soon as possible.
I would move on the property and the divorce together and get things moving and finalise it all and get on with your life.
You may need a Solicitor to assist you in the property because you may also be eligible for spousal maintenance if you are dependent on the other party.
Is there anything else I can assist you with?