Me and my fiancé stayed in Amelia's condo from September 2013 until early January 2014, and the place was wonderful!
It was nice and clean, and had all the amenities you could possibly ask for, including but not limited to; washer/dryer, wifi, two flat screen TVs with cable, coffee makers (yes, two!), beach chairs, towels, bed linens etc, etc, etc. It's on the 15th floor and gives a stunning view over the pool, all of WPB, Palm Beach and Clear Lake.
Everything you could need is just around down the street; grocery store, pharmacies, restaurants, bars, movie theater etc.
Also, Amelia is a lovely woman who's easy to deal with, and happy to answer any questions. I would gladly recommend this to family and friends coming to West Palm.