Are mindees parents OK that you will be getting the work done while their DC's are there? We had our kitchen done and was fine with our DC@s but wouldn't even contemplate it if people were paying me to have their children, equally I wouldn't be happy sending my DC's to a building site.
Look you are not going in to labour next week, especially IF you have the kitchen done. Your body will only labour when it is safe to do so. So get the kitchen done and then wait for your waters to pop all over the newly installed flooring. Which kitchen is it btw?
Now. My kitchen was a two-week job and was finished on my due date. Lovely kitchen fitters were very twitchy that I would go into labour while they were in the house (and I was enormous!) so had an incentive to finish on time. But I wasn't planning a homebirth, had no other DCs to consider at the time and fitting was very straightforward - only issue was cracked glass in the door of one cabinet. And DD was two weeks late. Good luck whatever you decide.