Yes, if you stay at a Disney resort you can take the free bus to any of the parks. If you want to go from resort to resort you usually have to transfer at the ticket center or you can take the Monorail to certain hotels from Epcot and MK. There are also boats that go from a few hotels to certain parks.
You've come to the right place. Welcome to the DISboards! You can get to other themeparks by the Mears Shuttles, its $14 per person, round trip (at least to USO/IOA and SeaWorld) and I'm sure they go all over but there is always a fee. If you are staying onsite there is a number on the phone in your room to contact Mears (or just call the front desk and they can connect you, most of the resorts has a Mears desk or something), you call them the day before you want to go and make the arrangements. You pay the driver when you depart and make arrangements with the driver for when you want to be picked up. HTH
For the Mears shuttle, is that the same price for kids (4) as well?
We are trying to figure out if we want to fly or drive from DFW to Orlando. We will be staying at ASMo and we just figured out we could get free Sea World tickets with our Citibank Visa points. Dh originally wanted to drive but now he is considering flying but we want to try to figure out all our costs before we commit to flying.