Okay, my honest opinion is;
Merit Home Support Services ......sounds a little mundane.
Serenity Home Support Services .....sounds like a funeral home.

Here are a some ideas I whipped up....

Sisters Support Home Services
HELP, ... is what we do! Living Assistance.
Busy Bee Home Care
Home and Care Assistance
Tireless Indeed, for Home Care In Need
In Need? Home Care Indeed!
Stop Resistance! Take Living Assistance!

Hannelore