This is so simple that it hardly needs to be mentioned but here goes. Always carry a spare tailwheel/nose or maybe even a main gear tire tube and simple tool kit. I have had a spare tailwheel tire and tube in my Maule for years. For no good reason last fall I took it out an put it in the hangar.
Just today I flew to a friends private strip about 40 miles from my home base. Touchdown on the smooth grass was rewarding. When I deplaned I noticed that the tailwheel tire was flat and nearly off the hub. No one home, no cellphone and a couple of miles from the nearest house. Broke into my friends hangar: got the jack and tools, removed the tailwheel and seperated the hub. The stem of the tube was missing, my spare in my hangar 40 miles a way. Finally got hold of a friend nearby who drove me the 80 mile round trip to pick up the spare. Had it on and tools put away in 15 minutes.
No big deal but took 4 hours of running around in 105 degree heat. Would have been a simple 30 minute job if I had the spare and tools with me. Some places I take the Maule could have turned it into a significant event.
That is the last time I go anywhere without tools and a spare.