Nitrogen is just a gimmick in my opinion. So the two arguments for nitrogen are that 1) it is dry and doesn't have water vapor and 2) it permeates through tire walls more slowly than oxygen.
A common "pro" given for nitrogen fills are that oxygen can permeate through a tire about 3 times more rapidly than oxygen. But the key thing to take into consideration is that the permeation of oxygen through the tires is very small anyways. Combine that with the fact that filling your tires with standard compressed air will consist of only ~20% oxygen.
The "nitrogen-fill" tires will be a bit more PSI stable under varying temperature conditions, that's all.
Nitrogen filled tires won't be any more PSI stable over temperatures compared to standard air filled tires. The only reason its claimed that nitrogen tires are more temperature stable than standard air filled tires is that the nitrogen is dry and doesn't contain as much water vapor as standard air. But if you fill your tires with a well maintained air compressor that has a drier on it, you will be fine. The key is to use a compressor with a large enough tank. Because if you let your compressor's tank pressurize, the water vapor should condense and settle at the bottom of the tank, and the output air will be pretty dry. Then when you are done filling your tires, drain your tank to get rid of any water condensate.