Comfortable, convenient Living. Lake Burien Apartment Homes are nestled in the southwestern corner of Burien, near the Seahurst community. What's more, Olde Burien Town Center is just a few steps away. Enjoy a hot cappuccino, browse for that perfect book, or just window shop. The greater Burien shopping area is easily reached by foot, by car or bus-everything from groceries to health services. Lake Burien View combines some of the best of what we all want: convenience and lifestyle.