What sort of support are you looking for, financial or ideas and moral support?
Have you looked for local women’s business networks? Most areas have them and hold quarterly get-togethers.
If you are asking to be trusted in people’s houses, I guess the best things are really good references. Could you ask one or two of your longest standing customers to each give a great quote on how reliable & trustworthy you are? Then prune it down to one phrase & use it on everything. Quotes, invoices, embroidered on your overalls or t-shirts.
create a clean & neat image – clean car, neat appearance. Maybe a brand colour – choose one that suits you, so you look good in t-shirts that colour.
But all that stuff is just window dressing for getting one new customer at a time and doing a good job. Decent cleaners who don’t break things are rare as hens teeth so I bet you’ll be great.