I saw on one of your other threads that you are going during Christmas week which is the busiest week of the year so trying to find dining reservations for a party of 10 will be very challenging. It will take persistence and dedication.
Some things to keep in mind:
1. Many have had luck using the Touring Plans reservation finder. There are multiple threads on the Dining Reservations board that discusses it in detail.
2. You can also subscribe to the December cancellation thread on the Dining Reservations board. Be sure to read the rules in the first post.
3. Everybody who will be at the table, regardless of age, needs to be included for safety and fire code concerns.
4. Ideally try to find a reservation for 10 so the restaurant knows you are a large group. Online, if you try booking smaller sized groups (e.g. 4,4,2) put the first reservation in the name of someone else in your party. You can be the lead on the last reservation. Book the reservations as close in time as possible. When you check in, ask to be seated together. While there's no guarantee, the castmembers will do their best...but during Christmas week the restaurants will be extremely busy so be prepared to wait longer or understand that you may be seated at separate tables since your reservations are for a 4 top, 4 top and 2 top tables.
5. For multiple reservations (e.g. 4,4,2) it will be easier to call the dining line and explain what you are trying to do. While the reservation castmember cannot combine the reservations it will be easier to book and if a restaurant sees the same name on more than one reservation perhaps it will help with seating. Again, though, there's no guarantee that you'll all be at one table.
6. Try looking for reservations for off times rather than the most popular dining hours. If you make multiple reservations, you have a better chance of being seated together or at adjacent tables if you book when the restaurant first opens or near the end of a meal service because more tables will be available at either time.
7. The more flexible you are, the better your chances of finding something. Look at different days and times and consider all the different meals - breakfast, lunch and dinner.
8. Look into restaurants at resorts that aren't near a theme park. Many restaurants in Disney Springs only release a limited number of their reservations to Disney. You can book many of them directly or through Open Table. I think the same applies to the restaurants at the Swan and Dolphin.
9. If you are 3 families of 4, 4, and 2 think about meeting up for just one meal a day and let each family make their own plans for other meals.
Good luck!