Ours come down on the 6th every year, so we're girding up the loins to attack tomorrow. We always have a small real tree, which goes out into the garden to dry out for the fire, and every year when we come to saw it up we find a decoration nestling in the branches. It doesn't seem to matter how carefully we search. That's as well as the ones which have fallen off and crept under the sofa. Usually they are put back into the box in the garage when found, but if the box was in the loft I probably wouldn't bother!
carer123, your idea of putting fat balls in the tree sounds good - we haven't found a way of keeping the big birds (jackdaws and gulls) off the fat balls, but maybe Christmas tree needles will do the job.