Hi. We stayed at Hôtel de Paris in the mid '90s; sorry I can't remember the year. We have always rented a car, so can't help with the public transportation question but the folks at the concierge desk were extraordinarily helpful and they will arrange anything for you or supply any information. I'd contact them directly to discuss logistics. The spa was gorgeous -- I recommend making appointments now, a great way to unwind before dressing for the casino. Editing to add that they had a beach club with hotel rooms just across the western border inside France with a pretty terrace restaurant.

I prefer Nice to Monte-Carlo, which is just too clean and neat a place for the likes of me. The Negresco has a great location for a first-timer to Nice.