I have 4 dogs - Mum, Dad and their 2 sons - we re-homed the other 5 with excellent owners - and I completely understand, although I have never had to go through what you are going through, re-homing the pups was enough for me.
They are your family, some people really dont understand that, especially if they arent animal lovers. I whereas I, and Im sure you fully apprciate that there are 2 sides to every story its breaks your heart, its breaking mine now thinking about it.
But remember you can always go and see them (little consolation I know) and that these neighbours will have to live with themselves.
You may now have time to find a better property whilst the dogs are being cared for, and then be re-united.
Its a thought - I sympasthise and my thoughts are with you.