OG, yes I had a timeline. I set one year past BD. In my case BD was 12/23, so I set the Monday after New Years to file for D. I was giving her one year to recommit to the marriage. This was not a timeline I shared with her, it was for me. I was not filing to wake her up, I was going to file to get a D. Just like you I had spoken to a lawyer, got a free consult, and I was ready to move forward. (By the way, to any LBS that might be reading this, talking to the lawyer was one of the best things I ever did! It really alleviated a lot of anxiety I had about the D.)
As far as the bed, as long as he is NOT actively involved in a PA, there is no reason to kick him out of the bed. Once you file if you want you can ask him to sleep elsewhere. I would stop driving him to the airport. That is what a W does for a H and he has fired you as his W. I put that in the "cake-eating" category.
M(53), W(54),D(19) M-23, T-25 Bomb Drop - Dec.23, 2017 Ring and Piecing since March 2018