Clock in/out app for timesheets

Small business owner here , looking for recommendations on an app/device/program for staff to clock in when they get to work / clock out when they leave work. It would be helpful to track different rates per hour as some staff work in different capacities. Have looked at Deputy and Connecteam but I don't want staff to have to "take work home with them" by having an app on their phone. It would be great if it can speak to or integrate well to Xero. A smaller Australian based company would be better to use for support. Open to suggestions. Thank you all 🙏

Edit: this is to replace paper timesheets. The timesheets are in a folder, in the staff room. Staff put their start time, break times, and when they leave. Then at the end of the fortnight, this is manually entered into an Excel spreadsheet. This is then sent to the book keeper to do whatever it is they do (awards, add up leave accrual, etc). Then they put it together into a payment file, and I put it into the internet banking thing and pay the staff. This is labour intensive and time consuming. The only reason I want to switch to digital is to simplify things. Not because I am micromanaging them or anything else sinister.