Indeed, given the Crown is in Happy Valley, just AE it to Central then hop into one of the many, many cabs waiting there for the ride which should as aforementioned be about 50 HKD.

Personally, as a longstanding HK resident, I do not venture that often to the dark side (Kowloon) but it shouldn't be too difficult to get to where you want to go to given there is an MTR station very close to the Crown (Times Square though you have to walk about 300m underground once you enter it). Taxi shift times and X-harbour tunnel traffic nightmares can make that route complicated.

If you have any other questions I'd be happy to answer them as a Gweilo who has had many friends come over as well

Chehk.