The first thing I would do is unpack and redesign compulsorily the pay packages of the Directors of public companies so that their take home pay from all sources within the company (salary, share options, etc) can only rise by the same amount as those of their employees.
As far as bonuses are concerned, no director can receive a bonus unless all employees receive, % wise, the same amount.
More generally I am not so concerned about the rich getting richer. It is the poor getting poorer that bothers me and that is the difficult part to fix. Raise the Living wage rate too high and we could undermine our manufacturers and jobs because we could see a rise in cheaper imports. Put tarriffs or restrictions on imports and other countries will impose reciprocal measures.
I would like to see Benefits set at a fixed proportion of the minimum wage and it should then be tied to wage inflation. I would like to see pensions tied to wage inflation as well. The way to deal with pensioner poverty is through Pension Credit, not the basic rate, although it should first be defined as a proportion of annual wages.