Here is my favorite approach to rolling Hit Points, especially for 5E.
Per the 5E rules, you can roll the dice or accept the "standard" roll for each class. Much discussion here: https://rpg.stackexchange.com/questions/48198/why-would-i-ever-choose-rolling-hit-points
However, I think we can have the best of both worlds. We can roll the dice yet tweak the odds so our outcome is better than average dice rolls and our characters are not stuck with bad rolls.
The mechanism is simple. Simply use the lower sized dice for your character class, but always add 2 to your roll result. The minimum roll for everyone becomes a 3.
Wizard d6 instead d4 +2
Sorcerer d6 instead d4 +2
Warlock d8 instead d6 +2
Cleric d8 instead d6 +2
Bard d8 instead d6 +2
Rogue d8 instead d6 +2
Druid d8 instead d6 +2
Monk d8 instead d6 +2
Ranger d10 instead d8 +2
Fighter d10 instead d8 +2
Paladin d10 instead d8 +2
Barbarian d12 instead d10 +2
