I understand you wanting a parrot. But, I also see quite a few
large red flags.
Firstly, let me say, I had a caique. He lived in the same house with 4 rescue cats. My cats are plain old domestic cats, they just needed homes and don't go outside at all. Their breeding lineage is so muddled, they have hardly any "wild" instincts left (apart from destroying my furniture with their claws

. When I brought my caique home, I
did not introduce him to the cats. The cats were mildly interested for a few weeks, and that was that.
My caique was fully flighted, but that didn't mean he could escape a quick swipe of a cat's claws. When Kiki (my caique) was out of his cage, he was
always supervised - At. All. Times. - much as you would supervise a toddler at a park playground.
Eventually, my cats became scared of Kiki. But I never trusted my cats for one nano-second.
You have a Bengal (not familiar with the breed) and another cat who both go outdoors. They are conditioned to hunt. That's probably what they do anyhow when they're outside. Crouch down, behind a bush, tail swishing around, focused on their unsuspecting prey and ready to pounce on any unfortunate bird that happens to find a tasty treat on the ground. Bird, Mouse, Rat - they don't care: in this case, size really
doesn't matter.
Red flag #2 - (sorry to be such a Debbie Downer) - your bedroom is not a place that is conducive to housing a bird that is as socially needy as an African Grey. While they are typically shy birds, the love to observe the goings on in the household. Have you thought about how your Grey would feel when you are in school. He would be in his cage, by himself, no human interaction. Ask yourself if you would like to live like this? Would you enjoy being locked up behind bars for 8 hours a day? I doubt it. Your future bird will hate it even more.
Kudos - for doing research! But, clearly you have not done enough. After all your research, you should know that Greys are flock birds. In the wild they live in flocks of hundreds, oftentimes even more. By taking a Grey, or another other parrot, under your "wing", you are automatically designated as his/her flock. So, you will be at school 8 hours a day, obviously doing homework and assignments as well. You are going, to parties, friends will also take your time. How much time, and be honest with yourself, do you think you will be able to spend time with your future bird on a daily basis? Probably not enough.
The other side of the coin - some of the most well-adjusted Greys belong to young adults. They drag them around everywhere so the birds become slowly de-sensitized to their surroundings. But this is a gradual and thoughtful process. Are you mature enough to understand this?
Finally - who is going to do all the boring work? The drudgery of daily cage cleaning? Greys are super dusty and their environment needs constant cleaning and monitoring. Do you like to prepare and shop for food. Your bird will need an abundance of fresh veggies, bean mashes, birdie bread...(not just pellets, and certainly not seed).. Have you done your research on nutritional requirements?
Do yourself and your future bird a favour, do some more research. Possibly you looked into all the "cool" things about Greys and Ringnecks. Intelligence, vocal ability, ability to train tricks...all the fun stuff. Your research
must include the cons of owning one of these birds. Both for your sake and the sake of your bird. Too many parrots are given up because the owners did not realize what an enormous commitment it is so care for them: both physically and psychologically. :justdont:
This is your first bird. My first bird was a parakeet - a budgie. I know what you may be thinking: not flash, won't impress my friends, not big enough. But, my little Babette was a charmer! She learned how to talk: "girls coming home from school!", "go do your homework", "mummy do groceries" and many other phrases. She loved running up and down my arm for a shower when I was washing veggies. Also budgies are very quick fliers and rarely explore what is on the ground - if she tries, you can train her that she is not allowed on the floor.
This scenario will give you some idea of what a companion parrot needs. Budgies are generally more independent and won't mind chilling out while you're at school. But, they still need all the things a bigger parrot does: you still have to keep the cage super clean, she needs a few toys (no mirrors, pls), healthy food: read a veggie chop, pellets and millet as a special training treat.
Okay, I will

now, just give some thought to other opinions that have been voiced. Forewarned is forearmed. I am sorry if I have rained on your parade, not my intention, but this is a decision that has to though through carefully.. If you decide on a Grey, that bird will be your
responsibility for decades to come.
Are you ready to get married and have a baby? If not, don't get a Grey or Ringneck. Just my two cents worth.