This is why parents organize by classroom, so that everyone can chip in and they can really buy the teachers something nice. Believe me, as much as teachers appreciate your gratitude, they do not need a million little things from every child at every holiday. They don't need something hand-made by the child either, as they deal with this every day, and besides, who has a refrigerator big enough to hold every child's "special" drawing or craft?!!
So, usually there is a "room parent" or otherwise just a note goes around to the other parents from some volunteer who steps up - everyone kicks in $5 or $10, whatever they can afford (I used to have a big envelope with every parent's name on it -- when they put something in, they crossed off their name, and no one paid attention to how much (we gave guidelines but didn't make people adhere to them or verify their amounts - too embarrassing and too pointless). It takes the economic pressure off of people like you who have large families, and off of people who are struggling and can barely keep their kids in the day care to begin with.
I asked for suggestions from parents too - but if we could give each teacher a $100 or $150 gift card to a spa or a nice boutique, the teachers were thrilled. They really treasure gifts "from the class" and it lets them get something bigger instead of trying to find a place or a use for 15 small gifts.
it's easier for all if you do it this way!