Take the Airport Express
I am not usually one to take the train and will always opt for hotel car or cab. but I read the train is the way to go and wow were they right. I stayed there 2 weeks ago, the train comes every few minutes, it is inexpensive, the Ritz is the 2nd stop (Kowloon Station) it is only 23 minutes to get there, from there just go upstairs and follow the signs for the Ritz, maybe a 5 minute walk. It could not have been any easier and then on the way back you can check in for your flight and bags at Kowloon Station, it was so amazing and so easy, this would be my recommendation.