These are day tours in small jeeps (6-10 persons) in the natural reserve of Akamas. The safari driver will usually collect your from the hotel early in the morning. The organisers take care of the food and drinks which are included in the prices.
Akamas area offers magnificent views and few nice beaches. You can dive in the clear waters of Lara beach where turtles are nesting or dive in the breathtaking blue lagoon.
Prices range from 30 to 50 euros
The best way to find more is to have an afternoon stroll to the Kato Paphos harbor and talk with the organisers
Otherwise check this