Replacing two Commissioners in a keeper league.

I have the task this year of assigning two of last years teams to two new commissioners. However, the problem is that one team is absolutely the bottom of the barrel and the other team is pretty solid.

Last years teams will only be used to select one keeper from them.

Can anyone think of a good way, besides just picking out of a hat or a coin toss, to determine which of the new commissioners will get assigned two of the old teams?