I have a leaking tap, but I’m unsure how to get these taps off. I’m conscious of not using too much force in case I’m doing it wrong and just damage the tap
That looks like a MOEN faucet, I have the same type. If you are the original owner of the faucet they will usually supply parts and advice free. To remove the handle, twist the vertical round part between the horizontal handle and the sink. It will unscrew and reveal the inside parts that you need to replace.