Adopt full disclosure of royal lobbying and influence, including disclosure of meetings between members of the royal family and ministers.
Republic - This will turn off people who otherwise agree with what you are trying to achieve. Elections for a ceremonial position are pointless and could result in election fatigue, low turn outs and a non serious candidate being elected. We have a long history as a monarchy - suggest reduce the status of the monarch to the same as the ceremonial President. This will feel like continuity for older people and eliminate an unnecessary election.
To become a truly democratic country, the UK should become a republic. As a long-term goal, the monarchy would be replaced with an elected President who will act as Head of State. We recommend the model proposed by Republic.