I totally get your situation — my family went through the same thing with my grandma not long ago. What helped us was actually learning what the caregiver role involves so we knew exactly what we were looking for. A caregiver typically assists with everyday tasks like bathing, meals, mobility, and companionship, which sounds very close to what your dad needs. I found a resource Caregiver Jobs Philadelphia that explains the caregiver role in detail here:
Caregiver Jobs PA. It helped us understand what caregivers do and what questions to ask when talking to agencies or candidates. Once we knew that, everything felt much clearer and less intimidating.