Stay anywhere but The Alex
Would not recommend this hotel, just about the worst we have stayed in. Was actually asked for a recommendation this week and said anywhere but The Alex.
Stayed at the hotel for 6 nights with 2 young children. We arrived at the hotel late at night and my husband had to get the luggage trolley himself whilst the porter stood at the front desk, leaving me to unload our two children. The cleanliness of the room and hotel was poor; we put our 6 month old on the floor to play only to discover her knees were black when we picked her up!; the cream couch was putrid and had dirty marks and scuffs all over it; there was mould in the sink in the bathroom; we ordered room service and it took 2 days to remove the tray from the hallway. When we told the front desk staff we felt our experience was below average, they just said they were sorry about that and made no effort or attempt to understand why, let alone any attempt to resolve, or to fix the problem. 
When I made the booking I asked for two cribs to be provided and the hotel said that would be ok, when I called the hotel a week before our stay to confirm 2 cribs was told that they would cost $40 per crib per night (which is nowhere on the hotel web page and wasn't raised with me when I initially enquired). Absurd, considering all other hotels we've stayed in don't charge for cribs, the hotel was not sympathetic at all when I raised this simply saying it wasn't their policy so couldn't be true. Also asked about package handling fees prior to our stay and was told there were none, provided the packages were not held longer than the length of our stay. Was then charged a porterage fee for the packages we had delivered. The bathroom layout made it almost impossible to bath children. In spite of instructions as to how to have the ultimate rainfall experience shower the water pressure ranged from non existent to marginal at best.
Definitely not a Leading Hotel of the World!