The Word tells us that when it comes to this meal, we are to wait for each other. This is why we all take the bread at the same moment, and this is why we all drink the wine at the same moment. This is not an exercise in choreography, but rather a weighty theological proclamation.
When we take the bread, we are all taking bread together. When we take the wine, we are all taking wine together. When the words of institution are pronounced, at that moment, we all act as one.
We do this because we are one. One of the virtues of liturgical worship is that it gives us the opportunity many times in one service to declare that we are like-minded. We say amen to the same things, and at the same time. We sing the same psalms, and we sing the words together. When we harmonize with different notes, the purpose is not to compete with others, or to show off before others, but rather to showcase the harmonious way the entire body comes together. Harmony accentuates unity; it glorifies unity.
This is a Eucharistic celebration, which means it is a table of thanksgiving. We all come here with many different reasons for giving thanks, but we all overflow with thanks in the same way. Hundreds of hands move to the mouth at the same instant, and we all chew and swallow bread together. The same thing happens with the wine. As we offer our thanksgiving to God, and our grateful petitions to Him, this is an instance of a royal family, seated at a royal banquet. And like all families at table, we offer our thoughts, our prayers, our counsel to the one seated at the head.
These thoughts and prayers come from many different directions, but in this unitary action of eating bread and drinking wine, God knits them all together and enacts what we His friends have sought for Him to do, and when He does so, this is what Scripture calls His sovereign good pleasure.