On the issue of tire pressure, there is the air versus pure nitrogen debate. Dry air, by volume, is a mix of nitrogen (78%), oxygen (20.9%), argon (0.9%), carbon dioxide (0.3%) and other gasses. However, a home air compressor does not remove the water vapor which also is present. Oxygen reacts with the materials on the inside of the tire and is gradually used up. This reduces the pressure in the tire. Water vapor has a much lower molecular weight (18) and leaks out faster than the other gasses. (nitrogen 28, oxygen 32, argon 40, CO2 44) Because of the water vapor and oxygen, tires inflated with regular air will lose pressure over time more rapidly than those inflated with pure dry nitrogen.
Even though pure nitrogen is superior to plain old air, air is free. I recommend checking all tires every couple of weeks and adjusting the pressure as needed. All the tires on a vehicle should lose (most common) or gain pressure in common.