Hi, Tamara! Tickets for Disney Theme Parks, you can purchase directly through
www.disneyworld.com. Tickets can be mailed to you or you can pick them up at Will Call.
For Disney tickets and non-Disney tickets, you might want to try a couple of places. The first will be your local AAA office. They offer discounts on tickets, but you must purchase there; AAA discounts are not offered at ticket windows.
You can also go to undercovertourist.com. They have a variety of tickets to Disney Theme parks as well as other Orlando attractions. If you purchase from an online site, allow plenty of time for the delivery of your tickets.
For your Disney Theme Park Tickets, since you do not plan to park hop, you will probably just need the Magic Your Way Base Ticket. There are childrens' tickets for kids ages 3 - 9, and any guest age 10 or older requires an adult ticket.
Enjoy your June vacation in WDW. What a great way to kick-off summer!