I don't know if there is a "right" way but this is how I cut them:

1. cut lengthwise, all the way around (you can't cut straight through cause of the pit)

2. pull the two halves apart. Put plastic wrap on the half you aren't planning to use *fast* because air turns it brown.

3. peel off the skin. If the avocado is reasonably ripe the skin should come off in 2-3 pieces. Also throw away the pit if it's in this half.

4. set the avocado flat side down and cut into wedges.

5. eat!!