The blue moon is out right now hanging high in the sky. Of course the next moon will be closer and higher that today but it's still a sight to see.
I go by the older method of tracking blue moons since the newer method really makes no sense whatsoever. The names of the moons don't depend on the month but depend on the seasons.
If you try to go by the months then the famed double blue moon, a second moon in January followed by a second full moon in March, throws the naming all out the window since one of the moons won't even be needed. The purpose of having a blue moon was to keep the names of the moons in order in the seasons in which they appeared.
The next full moon, since I live in Texas, I would term the long night's moon since there is no definite forecast of really cold weather.