I hired help for frail seniors through my personal network and through a local agency. Same way you find a job by building your personal network and leveraging connections. The first of my Mom's aides had two other clients in my neighborhood. One of her clients was a close friend of mine who went into hospice care last year and I already knew the quality of her caregiving when I asked her to help me with my Mom. It's a whole new world and an employment opportunity that will only increase as Boomers age.
I've heard good things about getting people through Care.com. You can sort within there for everything -- meals, transportation, light housework, Live-in, etc. I've not hired caregivers through that site, however.
Caregivers run the gamut from so amazing you can't believe they are even real to criminally negligent. Once you have someone, you need to keep your eyes open.
Two of the three people I was managing this for had Medicaid and qualified for Personal Care Aides that their insurance paid for through an agency. The aides do meal prep and light housework in addition to assistance with bathing & toileting. Personal care aides risk their licenses by being tasked with management of medications or doing wound care. Family or RN must do that. Something to keep in mind as your loved one's needs evolve.
As his mobility has declined, engage with his healthcare team as a referral may be needed to get the insurance funded in-home support. Maintaining mobility is crucial, and a decline may be indicative of other issues. Medicare/Medicaid both will fund PT & OT, too. For my family members, those referrals were a package of sorts and included visiting nurse and social worker. Insurers would rather keep a patient out of a facility and in their home and they are willing to pay for a significant amount of support to achieve that. The social worker ought to know what supports are available, have names of agencies, insight into qualifications for other supports, ie.. meal delivery, wellness checks, respite care, etc.