I've traveled with two different 6 month olds. I'll try to help the best I can. I'll begin with this- they were easier then than they were as toddlers!!!
They can go on any ride that doesn't have a heigth restriction- took ours everything in Fantasyland. And, at this age, they aren't so much afraid of things- like the Snow White ride, huanted mansion, etc. As far as restaurants, nope, no strollers. The only one that allowed us to take our stroller in was The Land- b/c they did not have infant seats. If there are infant seats available, the stroller has to stay outside.
DD got minnie ears when she was that young- didn't buy them for ds b/c he wouldn't keep anything on his head. But yes, they do have them in infant size. Go to Downtown Disney to find infant clothes for him- the World of Disney has a whole baby section. You will probably also be able to find a lot in the parks. You might also try disneyshopping.com- but they are low on clothing right now- I guess they're getting ready to put spring stuff out.
Is your baby on formula? A trick I used- I put powder formula in the bottles for the day and added water throughout the day. Now, you will have a hard time finding warm water. Usually if you ask for warm water they give you scalding hot water from the coffee pot. Just use a little of that and fill the rest with cold and it evens out. They do have warm water at the baby centers, but you might have to walk across the park for that.
Take your own stroller- the ones at Disney are not baby friendly- some are hard plastic and do not recline.
Enjoy it and have fun! Characters LOVE babies! We ate at several character meals and they all made such a fuss over them. And it is great that both of mine slept in their stroller for all naps and at night- something that won't happen later on!!!
HTH!!!