I actually know how you feel. The same situation happened to me a few years ago where I lived with my ex for about a month after we broke up. How long till the lease is over?
That's one of the most thoughtful and intellegent break-ups I've ever heard. But I bet that doesn't make it hurt any less. I wish you both the best of luck.
It is the hardest thing ever, especially if you are still living together, I had to do that exact same thing earlier this year and it wasn't that mutual so it was shit. Good luck, sounds like you have both made the right decision