The luckiest roll for your first move is 3-1. This allows you to build the 5-point.
Blocking another point in your home board, so your opponent has one point less to reenter the game if a checker is hit. Making the 5-point also helps blocking the back men of your enemy.Another good first roll is 4-2. This allows to make the 4-point.
Basically offering the same advantages as 3-1 but leaving the 5-point as a gap. If white is able to reach the 5 point your chance to trap them and to build a prim shrinks.A little weaker is the roll 5-3 and making the 3-point. I guess you already understand why ;-)
It is building a point in your home board but the 3-point is not a strong point alone and leaving a bigger gap does not help.
The last blocking roll is 6-1. The best move is to make the 7-point also known as the bar-point.

Not considered as strong as 3-1 because it is not building a point within the home board but making the 7-point prevents white from escaping with his first roll. Also building a 3-point prime (from 6 to 9) as a very good start.

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