Hi ndabunka, congrats on your new 35d. I don't have a space saver spare kit. I check my tire pressure twice a month and visually inspect them during fuel up. My experience is if you do run over a nail, it's usually a slow leak which the TPMS can detect. Once a leak is detected, you should have plenty of time to get it patched. Since the Contis are non-RFTs, your tire shop can patch them easily.
For long road trips I have a jack, a can of fix-a-flat, and 12v air pump with me. Tires don't just blow up on the highway like they used to. Just check your tire pressure regularly and avoid running over any road debris.