Yes, we put the baskets out the night before and they are there when they wake up. We also hide the eggs the night before. We had to do a little quick thinking one year when DD8 asked us why the Easter Bunny hides our eggs instead of his own. We just told her that it would way too hard for him to carry all those around with him all night so to make it easier, he hides the ones we painted along with one special one for each of them. For that one, I usually buy one of the larger plastic eggs and fill it with some change.
But the thing is, you don't have to do extravagant gifts to make your kids happy. Once they find the eggs the first time, DD14 will hide them again and again because the little ones love to find them. When they are bored with that, we take the new outside toys out and we all play. So many people think that the biggest and best toy is the only thing that will make their kids happy.