I don't see that it's necessary to choose. All three instruments tend to vary together. When they don't, it's usually best to stand aside. But, generally, they do.
As to trading, this suggests that, for example, the ES and NQ should be traded together, not simultaneously, but "off" each other.
Let's say, for example, that you have a breakout (however you define "breakout") in the NQ. Since you've missed it, you have a choice either of chasing it, or of setting up and transmitting an order for a like move in the ES. If the NQ BO fails and the ES doesn't trigger, you've just saved yourself some money. If the NQ BO succeeds, so likely will the ES, in which case you are in at the point of BO. Or vice-versa. Following both also aids an exit strategy.