Early Check-in is an arrangement with the hotel that allows you to check-in before the regular time. Late Check-in is the arrangement that allows you to arrive later than the regular time.
Early Check-out is an arrangement that gives you the option of leaving earlier than the regular time. Late Check-out gives you the option of leaving later than the regular time.
But don’t forget! Not all hotels have this flexibility. If you would like to have this option, contact the hotel staff in advance to check if they offer it.