Should I keep a record of the rota and spending so that I am truly fair?

Recording the rota, maintenance and gifts helps you be honestly fair and protects you from forgetting or unconsciously leaning to one side. Memory easily favours the one we love, so a brief record becomes an honest witness. Write down the nights in each home and the money given, then check it yourself every month. This also makes it easier to answer if a wife feels she is getting less than her due. Make it a tool for justice, not a burden that turns the household into mere business. Intend it all as fulfilling a trust before Allah. See the rota in practice.