I give you my condolences for your father's condition. Unlike many, I can actually speak of some first hand experiences here, as a family member of mine has fully diagnosed paranoid schizophrenia and has spent time institutionalized.
First off, I would like to reassure you and say, schizophrenia isn't typically something that's directly passed down. Yes, you can inherit certain genetic risk factors, but there is no single "schizophrenia gene". From my reading on the subject, the risk factor for having a schizophrenic parent is about a 6-10% chance for their children, but this can depend on so many factors I wouldn't stress myself worrying about, for one key reason: many of the triggers are environmental, including birth complications, childhood trauma/stress and drug use. If this doesn't describe you in any heavy way, you're generally a lower risk case. Of course, the sensible thing to do here, given you have the knowledge, is to seek professional medical advice if ever you're worried about having symptoms. Yes, things we can recommend here like Yoga are great for managing stress and emotional wellbeing, but always seek actual licensed advice first and foremost.
To regard my own history. An uncle of mine who has the disease found himself homeless, which was unsurprising, given how he tended to live in squalor and was very hostile to those around him. Being sympathetic, for a few months, he lived on my property. Even with all the patience in the world, this situation was not sustainable. Eventually, it became a risk factor to myself and the rest of my family. Now, he did indeed have some issues as a child, but undoubtedly his condition was severely worsened by adolescent drug abuse, and a refusal to treat his condition medically after his time spent in an institution.
My point is, I won't lie to you. This is a challenging situation to live with. Take care of yourself as best as you can. If you're living with your father, make sure you have at least a few hours out of the house a day if you can. Having also dealt with family members with dementia, even caring for single sick person is not a one man job. If there's any caregiving responsibility on you, reach out for what support you can. Hopefully, your father is someone who actually seeks or will seek actual treatment for his condition. Speaking purely anecdotally, I noted myself there were good days and bad days. I also noticed more unstable tendencies used to come out at night, or especially around the time of the Full Moon (this is regarded as superstition, but I noticed even my grandparents with dementia acted differently around that time as well).
As you are a Zevist, please always remember the Gods are out there. During my time dealing with my own situation, was one of the times I felt their presence most heavily.