Easy Living Apartments are in Placencia Village while Green Parrot and Barnacle Bill's are in Maya Beach.
Each of them is very nice, so I'd make my decision based on what you want from your vacation -- primarily R&R on the beach or more interaction with local cultures, with easy walking access to local restaurants, bars, gift shops, etc.
If you want the beach R&R, the Green Parrot or Barnacle Bill's are the places for you. If you want more cultural interaction, then I'd suggest Easy Living (or another of the local accommodations).
FYI, the Easy Living Apartments are two-bedroom units, each with air conditioning, cable television, full kitchen, phone and nice verandahs. They're located about 150 feet from the edge of the Caribbean. They're well decorated and managed, as are Green Parrot and Barnacle Bill's.