To second Cadiz lover's suggestion; we caught the bus to the terminus and there were several taxis waiting at the bus stop. From there we took a taxi to the Hotel Becquer. The taxi cost a few euros, I can't remeber how much exactly but it was less than 10 euro. We had intended to take a taxi from the airport, but passed the waiting bus before we found a taxi. With the cost of the bus it wasn't hugely cheaper, but very easy. If you are more than 2 it may be cheaper to take a taxi the whole way. Returning to the airport, there is a taxi rank directly opposite the hotel.