Hi katmack, you sounds like a great nanny to research this area.
Are your toddlers fussy? I also assume you are only cooking for them and not for the family as well, so your portions are smaller.
Mine are terribly fussy and so I make it a point not to spend too much time to cook them complicated meals only for them to reject it!
My aupair does scrambled eggs/beans/tuna mayo on toast, ham/jam/peanut butter (if ok with nuts) etc sandwich. Grill up some cocktail sausages. Hard boiled eggs. Mashed potato with cream/butter/grated cheese.
Pasta (use the small ones like shell, fusilli, penne, macaroni, rather than long spagetti-type ones) with cream, peas, sweetcorn, ham, sausage. Simple dips (eg sweet potato puree) with potato wedges, carrot sticks.
Toddlers love to feed themselves. Finger foods as well.
Check out the Food and Recipes section of mn for more ideas.