I'll try to answer a few of these.
>>He is going to have a ~5 hour drive. What type of carrier is best?
I would get the largest, sturdiest one possible, thinking ahead to when your bengal is older.
I don't have that much advice for the 5 hour trip. Serafina and Gaga took about a similar length trip, but they were a bit older. Like 3-4 months old. They really didn't have much interest in using a litter box or drinking, and only ate a little, so my strategy became to get the driving over with as few stops as possible, and get them to the destination so they could take care of all that there. But a much younger kitten may have different needs. Hopefully someone else will comment.
>>I have purchased the type of food that my breeder is feeding, but I prefer to switch him slowly to a more healthy food
Good idea. But one mistake you are making is falling in love with one food before your bengal has even tried it! One really important aspect of cat food is it's it's taste/smell to cats, and your cat in particular. So I think it's a mistake to plan that out so specifically in advance. Much wiser imo to think in terms of a group of foods that are acceptable to you nutritionally, and then see what sort of preferences he has. The other thing is that cats seem to get pickier and pickier about food with age. So something he is "ok" with his first couple months with you, there is a good chance he'll hate 12 months later
I think if it ends up being your 3rd favorite food that he loves, that would be par preferable to your 1st favorite food that he is "meh" about.
In terms of my particular cats, yes, I've tried them on Earthborn Hollistic. I agree that it's very good nutritionally. My cats did not like their dry food at all, but like the canned and fish and chicken flavors pretty well (although it's not really a favorite). So it's part of the "rotation" of food that they get.
In terms of amount, you don't really have to worry so much about amount for at least 6 months or so, then you have to start evaluating your cat based on his body shape. But just feed him as much as he wants until then.
>>I would like to make arrangements with my vet to have my kitten screened and vaccinated for everything
I'm sure some will disagree, but I think at some point you have to develop some trust and rapport with a particular vet, and so this is the type of thing I would leave up to the vet. Schedule an appointment for your first week with your vet, and let him/her sort out which vaccinations and tests are appropriate for your cat.
And yes, I too will question the wisdom of bringing home a kitten at 9 weeks. That's considered pretty irresponsible of your breeder, and puts your cat at higher risk for behavioral, litter training, and health problems.