To your questions, Mr Jayvis. The hotel is nearby Tin Hau MTR Station, about 10 minutes' walk to Exit A2 of the metro station. You can use it to Causeway Bay (just one stop). Then walk Wan Chai, then walk west along Hennessy Rd to Wan Chai, walk to Golden Bauhinia. Use the MTR to Central and get our from Exit D2, walk to Soho/Lan Kwai Fong. Getting back to the hotel, you can use metro at Central to Tin Hau directly.
The transport to Ocean Park: use MTR to Admiralty and take bus 926 there to the park directly. The park to the peak: use the same bus to Admiralty, nearby the Exit B of the metro station. Walk from Lippo Center to Bank of China Tower and climb up to the Tram Station to the top of the peak. Take bus 15C from the Peak to Central and then change to metro to Tin Hau, your hotel.