Keep your options open on the job front....Nothing is guaranteed with a trial, so talk with the second company.
Worry about the birthday down the road. That is to far in the future right now to be a priority on the mind.
Kids relate to a consistent schedule better than anything. I would come up with a dinner time for the kids...say 6. Stick with that. I agree that dinner is family time, but now that both of you will be working it will be hard to have a family dinner....better just to have the time consistent.