Just ask to leave it for their consideration. It may take a while, but I have found people have better luck dropping these off in person than by mailing them in. If you have a legit Agent and or Manager, I do recommend putting your Children's photos in The Academy Players Directory. Every Studio and Agent gets these, and I feel they will not hurt for exposure. Pilot season, at least the best I have seen for children, is from late January to around mid April each year.
People flock to Hollywood with their hopes and head-shots from far and wide.
A very large percent of the out of Towners stay at Oakwood Apartments on Barham Blvd. There are several sources. One of the best available is The Academy Players Directory Reference Supplement. These are no longer available free, due to printing costs, but included with purchase of the Players Directory books.