Actually most brides still choose to be given away by their fathers, regardless of income and status, and if that's how you want it, that's fine by me. But there are other ways.
I've married quite a few couples who have chosen to come into the venue together, arm in arm. Others have spent half an hour mingling with their guests, then clapped their hands and said, "right, we're getting married now!" Some brides come in with their sons, some with brothers or sisters.
Remember, there's no right way. Only your way is the right way.