The best opening move for 3-3 in backgammon is 8/5(2) 6/3(2). The 5- and 3-points. Watch it on the board, then read the idea behind it.

The idea behind the move
With 3-3 play 8/5(2) 6/3(2): you make the 5-point and the 3-point at once. The 5-point is the most valuable, and the 3-point supports it.
What comes next
You have three points in your home board (the 6-, 5- and 3-points). One lone checker is left on the 8-point, which only a few of your opponent’s rolls hit. The next aim is the 4-point.
How to read the move
A move like 24/18 means one checker goes from your 24-point to your 18-point. Points are counted from your side: 24 is the farthest, 1 is the deepest in your home board. “(2)” after a move means you play it with two checkers.