Something to bear in mind is that if Simpsons is full, you may end up at St Johns in Livingston.
This happened to me with DC1 which was terrifying at the time as we were literally a few mins from Simpsons and had just assumed we would be going there. However, St Js were fantastic. It was quiet (me and 2 other mums in that night), the staff on the labour ward were lovely, they made a fuss of DH (fed and gave him tea when I was spaced out on morphine!) and generally very attentive and caring.
I valued the experience so much, i opted to have DC2 there also. Again, a fantastic experience. In and out with DC2 in 7 hours (thankfully a straightforward birth). My family were allowed in to see me outwith visiting hours, and everything was very relaxed and calm.
I found out later that if I had chosen to go to Simpsons for DC2, that in actual fact, when I gave birth, it had been shut again to new admissions, so I would have been diverted to St Js anyway!
I often wonder how straightforward my births would have been had I been one of the last admissions to Simpsons at that time. Would I have got the full care and attention if they were run off their feet? That was my fear and another reason I chose to go to St Js for no 2. Yes it was a bit of a pain to get there (30 mins v 5/10 mins) at the time and for friends and family visiting, but in the grand scheme of things, I'm glad it worked for me.
All the best with your birth!