Welcome! Disney is SO awesome! Once you go you'll see why so many people love it!
To answer some of your questions with my opinions:
Value hotel- I've only stayed at pop century, but it was really cool. I loved the huge statues, and the overall atmosphere. The Art of Animation looks like it is awesome though! I'm hoping to stay there during a future trip.
Shuttles- yes all Disney hotels have busses (and some have boats and or a monorail) to get to and from the parks. One thing that I've learned about the busses is that if you want to get to Downtown Disney from a park, you need to take a bus to any Disney owned hotel and wait there for the Downtown Disney bus. Same goes for if you are at your hotel, and have a dinner reservation at a restaurant in a different Disney hotel. You would need to get on a bus to any park, and wait there for the bus to the hotel that your restaurant reservation is located. This can be time consuming, so make sure to plan ahead for that.
Airport transportation- if you're staying at a Disney owned hotel, and flying into the Orlando airport (MCO) during certain times of the day, you can use Disney's Magical Express. This service is EXCELLENT (and FREE)! I use it every time I go to Disney. If you are flying on one of the many airlines that use this service, you can check your bags with the luggage tags that Disney gives you, and Disney will get your bags at the Orlando airport and bring them to your hotel room for you. This saves a lot of time and stress, in my opinion. However, the bags will not arrive until a few hours after you have gotten to Disney, so if you use this service, pack your essentials with you on your carry-on. This is also a great service for when you are leaving Disney. You can actually check your luggage at your hotel, and not have to worry about your bags for the rest of the trip. The Magical Express bus is really cool too. I think it's so great because it gets you into the Disney spirit as soon as you're off the plane. I did just realize that you may be flying with a stop, I'm not sure how the luggage service works with that. But if it is nonstop I know it's great! So regardless of if you use the luggage service or not, you can still ride the magical express to Disney answer back for free! It's definitely worth checking in to. There are other transportation methods from the airport as well- taxis, rental cars, car services etc.
Cheapest to buy park passes- try
undercover tourist or if you are a
AAA member, you may find a better deal there.
Park hopper- I find this amazing! I love the flexibility of going to one park in the morning, and then going to a park that closes later, later in the day. This depends on your touring style though.
Dining plan- I LOVE the dining plan! I love having everything paid for before I go (except tips). I love the Disney restaurants. I honestly wouldn't go to Disney without the regular dining plan. That is just my opinion though. Many people I'm sure would disagree. I just think its a great advantage to have, and you have the opportunity to save a lot of money. Some of my favorite restaurants on Disney property are Crystal Palace, Boma, and Coral Reef. I can't wait to try Be Our Guest, Ohanna, and Tusker house next January! I don't know any restaurants outside of Disney, but I have heard there is both a target and a
Walmart close by.
I really hope you have an amazing trip, and that you come back loving Disney as much as I do!