Doing actions in order:
This ties in with the above somewhat, in that you should do the less risky stuff before the more risky stuff (though it is best to not try any risky stuff at all most of the time!). So when standing players up at the start of your turn, doing move actions that require no dice rolls etc. If you do all those first without any chance of a turnover, you also have no chance of using a reroll.
Next up you may need to do some dodges or blocks (depends on the race you are using and your play style). Now checking the blocking statistics it is obvious that having Block and having two dice in your favour stands a good chance of success and a low chance of turnover, ergo reroll usage. So it makes sense to do these first, which may also turn what was previously a one die block with a team mate, into now a two dice block. The same with dodging, if you have a higher agility player, who has the dodge skill then it makes sense to do the dodge with them first. Of course these situations will depend on if you need that player to do something else later in the turn, as with most things it is a case of thinking ahead and executing your turn in sequence.
Do the important things before the seemingly meaningless rolls. If you have to blitz someone off your ball carrier, perhaps it is a good idea to do that before you dodge out a Catcher to receive a pass. If you use the reroll dodging the catcher out you have a greater risk of failing to free up the ball carrier. In this instance if the blitz causes a turnover, not only can they just block AND blitz your ball carrier next turn (should the block not knock you over), but one of your players close by making that block harder is now also at least prone. So it makes sense to have the reroll there for the blitz which keeps the ball safer should you then fail the dodge if you had to use the reroll on the blitz. It is considering sequences like this that can make the difference between winning and losing.
If at all possible you want to make the best use of the skills on your players. They are all adding to the teams value and you have the skills for a reason, so it makes sense to use them. I already mentioned dodging with Dodge players over non dodge players and blocking with Block players. Picking the ball up makes sense to use your Sure Hands player, passing to players with Catch, passing with Pass skill etc. This does involve planning to have the right player in the right place but obviously performing actions with a skill that lets you reroll is preferable to using a team reroll. So look what you are trying to achieve and use your players accordingly.