Pilot taxiing at night at 0J4; Florala Municipal Airport; reported a runway excursion and contact with a runway light which was not operating or visible at night.

Narrative

I was taxiing in an extremely dark; remote location at an uncontrolled airport I was unfamiliar with. Lighting was nonexistent in the ramp area. I pulled up to the runway hold short line and activated the runway lighting system. I was diligent about checking the markings and my surroundings. After making my call on UNICOM; I started to taxi on to the runway. The blue taxi lights don't go all the way to the runway; and I'm fairly certain the runway light at that corner was burnt out. Because that light wasn't visible; I turned on the runway too early (essentially cutting the corner); and my prop struck the burnt out runway light. The runway light was damaged; and the prop sustained damage as well. The runway light will need to be replaced; and the prop may be able to be repaired. The engine ran fine after the strike; and I was able to taxi.The reason this incident occurred is because of a burnt out runway light and the fact I'm a new pilot at an unfamiliar airport in very dark conditions. I should have continued straight onto the runway instead of 'cutting the corner'; but the vast majority of my experience thus far has been on much larger (wider) runways; so I'm used to making an arcing turn as I turn on the runway. I know now in limited-sight conditions to go straight out to the runway and not make a 90-degree turn until I'm clearly in the center of the runway.