In MM, you have three kids, one forced and the others chosen from a larger set on startup. At any point you can switch to another kid, and give items to eachother. Who you pick changes certain puzzles.
In DOTT, you play three fixed kids (though the original idea was to let you choose), where one is in the past, one in the future, and one in the present. Initially, only one is available but you quickly unlock the past kid, and then the future. You can pass items to eachother freely, as long as the kids can reach their time machines -- the future kid initially cannot do so easily.