We all help people plan from time to time. What I have found is that you know your family better than I do. Only you will know what works best. With 6 day hoppers you will have the flexibility to change your plans midday if you wish.
If you find disney transportation to be unsatisfactory for you park hopping plans then you can look into
Express Transportation Option. It is an upcharge but will defiantly save you time. You can find reviews of people that have used it on this site.
General advice though:
1) Make a couple of dinning reservations to take a break inside and relax a little. But don't reserve tables for 3 meals a day; you will just be bouncing from restaurant to restaurant. One-a-day is great, two-a-day, on some days, is good too.
2) Only push your family so much. Most people on this forum would suggest leaving the parks after lunch to go back to the hotel for a swim or nap. I like to nap. Recharge, rest your feet and then get back to it early evening.
3) If it is your first trip, don't plan meals or fastpasses back to back. You will feel rushed. Allow yourself time to stroll around a bit or discover something that you never expected. You can use a fastpass schedule of 10/12/2 or 10/12/5 (those are times).
4) If you find that you do not know how to get somewhere on property, my first advice would be just to ask a cast member. You will find that all of them are incredibly friendly and helpful; they are amazing and genuinely nice to talk to. But know that if you need to get someplace, like another park, you can goto any hotel and hop on the buses there. If you need to get to a particular hotel, for a meal for example, you can get onto that hotels bus. All parks (as well as Disney Springs) have buses to all of the hotels and all hotels have buses to all of the parks.
5) R-E-L-A-X you
cannot do it all (we say this a lot here). You can't. Do not try. You family will have more fun if you are not rushing them around the park. Go slow. Watch the street performers, have an ice cream bar, hug a disney character. Your vacation is for you as well, so just let it happen.
6) Finally, be civil to other guests in the parks. Everyone there is on vacation and they have all spent a fortune trying to make it a magical time for their family. People get stressed because they plan too much or spend too much time in the sun or they simply think that they deserve something more. Don't be those people. It will be hot. It will be crowed and there will be waits for attractions. But don't stress about it.