Just be mindful of the law. I run a pair of 1929 vintage cars (primarily for weddings) but the law changed at least 10 years ago now. All fare paying passenger vehicles must comply with private hire licenses! My local council gave me an official warning to cease prom, golden wedding, 80th birthdays, theatre nights, trip to the races etc. Only weddings and funerals are exempt of private hire licence. Crazy I know but that is the law. The modern stretch limos flouted the law and ruined it for everyone.
Here the council stand with cameras at the prom venue or look in the local newspapers and track you down!
However. If your doing it as a friend of the family at no charge then you are not carrying fare paying passengers and your standard insurance will cover you and you won't require the private hire license from your council.
I looked into this as I did get quite a few non wedding jobs but the council will only issue a private hire on a vehicle up to 7 years old which can then run until it's 9 years old, the costs, medical, only one person can ever drive it, another mot type test, seat belts etc etc it was impossible in any event for me as mine are well over 80 years old.