Hi Toni!
I can imagine how exciting it must be planning that first trip! My first trip to Disney World, in my early twenties, had little to no planning. Now, in my mid 30's, with a wife and two children, I plan almost a year in advance! Funny how time changes everything...
Your dining plan is based on how many nights you're staying at the resort, not your park tickets. So if you're staying at your resort 6 nights, then your dining plan will cover you for each night of your resort stay.
If you have the Basic Dining Plan, that's 1 table service per person per night, or 6 for your visit.
If you have the Deluxe Dining Plan, that's 3 meals per person per night, which technically can be either quick service or table service. If you chose table service every meal each night for 6 nights, that would be 18 table service meals per person!
Have a magical first visit to the "Place Where Dreams Come True!"