I think you will do fine with the c-section. I think knowing beforehand that you are having it is so much easier than having it done in an emergency. You have time to mentally prepare. My first one was an emergency, and I had a planned one in March and within 2 weeks I was back to doing nearly everything I normally do. Just take it easy and follow dr. orders. Let your housework slack, don't lift anything heavier than your baby, if you have stairs try not to climb them too much. The first time I had disposable stiches, the second time I had staples. Believe it or not I liked the staples better.
The procedure itself is done very often. The only think .I really detested was the spinal. You will do great!
As for the baby, 37 weeks is considered full term. If you went into labor, they probably wouldn't stop you. Everything is developed, the last 3 weeks he/she is gaining weight and that can be done outside too.
Believe me, I know it's hard not to stress but, you will do a great job! Tuesday night you will be holding your beautiful baby and you won't have another care in the world. Enjoy your last few days being pregnant.
Good luck, be sure to come back and let us know how you are!