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Camera-wise, key software and lens improvements now enable a new "cinematic" mode - basically a super useful suite of tools that enable depth filtering and DolbyVision support for video recording. Apple claims that the new battery upgrade and software improvements will help increase battery life by approximately 2.5 hours.
Yes. iCloud makes it simple to move your settings and photos, apps, documents, and other data to a different device. After setting up your new device, sign in with iCloud and access your backup. You'll be ready in no time.
If you're looking to buy an iPhone 12 Pro Max at a lower price, the 13 Pro Max is a good choice.