Truly, this isn't a problem. You have a family which has accepted you, and THAT'S a major plus point.
If you're still presenting as male, it's really hard for people to use female pronouns for you. Hell, it's really hard for family members to gender you correctly, even when you look totally a girl. But they do get used to it, and you should gently remind them that you're now a "she".
As far as your parents' friends go, again, this is no problem. I find that my parents frequently misgender me in private, but never do so in public. And if your parents have accepted you, chances are that your mother has spoken of you with some of her more intimate clients.
Ask your family about how they are going to try regender you in their minds, and also how they're going to deal with telling other people about you. If they're proud of you as a boy, they'll be proud of you as a girl. My mother is very clear about introducing me as her daughter.
A final point: being transgender can be awkward at times. With family, friends and strangers. You'll have a really positive time of your transition if you smile and use humor to overcome any awkwardness. Some people don't know what to say, and it's up to you to help them feel comfortable. They're mostly curious, so be ready to tell your story - a very short one for strangers and a longer one for people who deserve more time.
Hope this helps.
Hugs
Julia