Nahreen - I would highly recommend staying at the Peninsula (aka "my home away from home"). An extra goodie is that you will have amazing H wildlife sightings while staying there!!
Thank you for your advice. I had thought about LUX which is really close to H. Unfortunatelly the Peninsula is not a hotel which I think is okej to choose pricewise since work might be paying. I need a day to recover from traveling and jet lag and thought I could spend it in BH and travel down to Anaheim later.