TRANSPORT FROM AIRPORT
There are various ways of getting from the airport (and back) but the options below are exactly that: options, not suggestions! Take which option suits you best and leave the rest! :-)
TAXI
Usually readily available outside the airport, but you can expect to pay a minimum of €100 from the airport to the hotel.
SHUTTLE
The most popular shuttle service is run by a company called Beniconnect, which is at the lower level of the airport, and can be pre-booked by visiting their website: https://www.beniconnect.com
They advise that you can wait up to 60 minutes before the shuttle departs, and there can be several stops at hotels along the way before you reach your destination, but currently it appears this option is available for under €10.
They also offer a limited stop service for slightly more, and it's worth having a good look at the other different options they have on their website.
BUS
There is an hourly bus service (from one level above arrivals) which leaves on the hour and goes to Benidorm bus station, and currently is around €10.
From Benidorm bus station you would need to get a taxi to the hotel which might cost up to €20.
ADVENTURE TRIP!
If you have a bit of time to spare and feel adventurous, you can get a bus from the airport into Alicante city Centre, a tram from there to Benidorm Tram Station, another tram to Albir, and walk the last 20 minutes!