The Cuban Pres is an movement that many athletes do in training, almost a staple in some of their workouts. From gymnast, baseball, boxers, etc.
There are two version of the CB. One is the Cuban rotation, without the press and the complete version with the press. Don't really have to include the actual press...but if that makes you happy, go for it.
Can use a BB, EZ bar, DB's or bands. Seen a couple of guys use chains, which can be a progressive way of doing them. What ever you choice please start very, very light, because it's really not a lifting exercise in it's self. It hits the smaller, but very important , muscles of the shoulder girdle. Which in return benefits the rotator cuff. Always good insurance to include one for or another as a general warmup. You will get stronger, but do advance the weight with caution.
Check the mirror out to be sure the elbows are always straight out and in line with the shoulder girdle. If the elbows drop, even a bit, you not doing CB's. Also try raising the chest out a bit when doing these.
Good luck