There's P-sizes and then there are LT-tires.
P-tires are "passenger" tires. They are made to carry less load. Normally, they have about 4-plies.
LT-tires are "light truck" tires. They have Load Ranges. Load Range C have about 6 plies...thus, able to handle more weight.
Load Range D tires have about 8 plies. Load Range E have 10 plies.
LT-tires have these advantages:
1. Because of more plies, you may have less risk of punture by a small nail, especially important if you take your truck off-road.
2. Carry more weight, important if you're towing often.
However, these tires are heavier than P-tires...so fuel economy (it's heavier due to more plies) and handling (increase in unsprung weight) will suffer a bit. Braking distance MAY be slightly more (again, more weight).
Recreational or commercial use tires tend to be very heavy duty...thus, they use LT-tires. Most off-roaders prefer LT-rated tires for the trails (less chance of punture wounds). For reasons above, non-off-roaders should get P-rated tires.
So, in conclusion, you should get the P-tires if you do not off-road or tow.
Hope this helps.