There are three levels in World 1 that you will need to get 3 stars on. Fortunately, two of them should be reasonably simple to do.
Levels 1-1 and 1-2 allow you to prepare ahead of time. By that, I mean the timer does not start until you serve your first dish. Therefore, you can fully cook several dishes and cut as many ingredients as you feel comfortable filling the counters and floor with before starting the timer. This can work well solo or in doubles.
Level 1-3 was a little harder. I played it in co-op and we struggled trying to do three dishes at a time. I would recommend sticking with 2 at a time and you should be able to get 3 stars after a couple rounds of getting the feel for it.
If you continue to struggle, try getting the meats started in the ovens as soon as the ingredients are to the person cutting. Fill both ovens and then try to wash the dishes before the ovens finish.