Yes on Disney property
Its on Disney property, so you have the choice there. Off property hotels as well. If you need assistance booking, reach out to Magical Mouse Travel
Yes, there are a lot of hotels nearby.
There are many, some even in walking distance ftom Typhoon Lagoon. I recommend to use booking.com or simply book a hotel from Disney's own selections of hotels.
Yes there's plenty close to the park.
Yes alot
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