The best option to fly to is the Vancouver International Airport (YVR):
You could also fly to Seattle, for example, and rent a car and drive over. Some of the travel options are listed here: http://seattletimes.nwsource.com/html/travel/2008116402_trthreecities17.html.
There are numerous options for getting to and from the airport, including the Sky Train, shuttles and/or buses, and taxis. The options are listed here: http://www.yvr.ca/en/getting-to-from-yvr.aspx.
*The Sky Train information can be found here: http://www.translink.ca/en/About-Us/Corporate-Overview/Operating-Companies/SkyTrain.aspx.. You can find more info on the public transportation options here: http://www.yvr.ca/en/getting-to-from-yvr/public-transportation.aspx.
*Taxis typically charge approximately $30-32 for transportation to and from downtown. http://www.yvr.ca/en/getting-to-from-yvr/taxis.aspx
*You can also rent a car easily at the airport. See this link for details: http://www.yvr.ca/en/getting-to-from-yvr/car-rentals.aspx. You can find general driving directions to the hotel here: http://www.sheratonvancouver.com/directions. Self-parking rate for EHA attendees is $28 per night.