There are taxis available outside the airport, but you are welcome to contact Katerina to arrange a driver to meet you at Arrivals!
On the Accommodations page, there are a handful of recommended hotels very close together. You are welcome to book where ever you would like, these recommendations are not requirements.
There are no hotel blocks (other than In Camera). The events begin on Thursday 6/23, ending with brunch on Sunday 6/26. Most guests will book for that block of time