You do not need to remove the entire tap to replace its cartridge.
Firstly, isolate your cold water mains/isolation valve & hot water supply to the affected tap.
Turn the tap on to ensure it is isolated.
Unscrew or carefully remove tap handle, gently use a suitable wrench or spanner to remove faulty cartridge & install new cartridge.
Fix the tap handle/head back in place securely, turn you hot & cold water supply back on a bit slowly, observe tap for leakage, if none turn the supply on fully & run your tap to check what you have done.