Here are some well-known and reputable in-home caregiver agencies that operate in many areas. It's always a good idea to research and read reviews for agencies specific to your location. Here are some nationally recognized in-home caregiver agencies:

Visiting Angels Offers a wide range of services including personal care, companion care, respite care, and specialized Alzheimer's and dementia care.
Home Instead Senior Care Provides personalized home care services such as companionship, personal care assistance, meal preparation, medication reminders, and more.
Comfort Keepers Focuses on elevating the human spirit through quality in-home senior care that includes personal care, housekeeping assistance, transportation services, and more.
Right at Home Offers customized caregiving services for almost any family situation through their trained caregivers who provide companionship to help with daily activities.
Visiting Nurse Associations (VNAs) Non-profit organizations providing home health services including skilled nursing and therapy as well as personal caregiving support.
BrightStar Care Provides medical-level in-home health care ranging from companion services to skilled nursing depending on the needs of the individual.
Griswold Home Care Specializes in non-medical homecare such as bathing assistance, homemaking tasks like cooking or cleaning, companionship activities like reading or playing games.
Senior Helpers Offers comprehensive programs including Alzheimer’s & Dementia Care Services along with Parkinson’s Disease Care Program among other general caregiving options.

Tips for Choosing an In-Home Caregiver Agency:

Check credentials: Ensure the agency is licensed by your state (if required) and has proper accreditation.
Read reviews: Look up online reviews from other clients.
Ask about background checks: Confirm that caregivers undergo thorough background checks.
Inquire about training: Ensure caregivers receive ongoing training.
Meet potential caregivers: Arrange meetings with potential caregivers to ensure they are a good fit for your parents' needs.

Remember to consult local resources such as senior centers or healthcare providers who may have additional recommendations tailored specifically for your area.