You can walk to take Star Ferry from the hotel and get to Central (2.5HKD), there are Bus 629 (10.6HKD) at Central star Ferry leaving at 09:35, 09:55, 10:15, 10:35, 10:55. Or you should take MTR from Tsim Sha Tsui to Admiralty (8HKD)anf then change to Bus 629 to the Ocean Park (10.6HKD). Bus 629 leaves from 9am-4pm from Admiralty (outside the Lippo, exit B of Admiralty MTR Station). Only five buses a day leaves from Central as I told above.
2. the most convenient way is to take free shuttle bus from the hotel to Kowloon Station and then take airport express to HKIA, but it is expensive: 90HKD
The cheapest way: Take Bus A21 the bus station is beside the hotel.It takes nearly one hour to the airport by bus. Go to catch the bus at 7am.