Do the parks offer any preferred parking options (at an added fee, of course) when you visit and pay for parking?

If it's offered, I'm considering it for our trip; we're not staying in the World and we'll have a toddler (2.5yo daughter) who will NEED to take a break every day, but an 11yo (and us 2 adults) who won't want to miss a thing. To help keep the balance, the quickest entry and exit possible will likely be super helpful.
We picked our second choice resort for this same reason (as it's a lot closer to WDW than our first choice).

Our trip is 9/5 - 9/13, so it will be hot and breaks will be essential.

Thoughts?
Strategies?

THANKS!