Iphone SE vs Xperia XZ vs Xperia X Compact?

Hey! I've been using an iPhone 3GS and then an iPhone 5S. Unfortunately, I dropped my 5S into a bucket of water, and figured to buy a new phone altogether.

Currently, I'm eyeballing at iPhone SE, and i'm considering it due to the following reasons:

• It's a 4-inch phone, I can touch every corner with 1 hand. Also, I have small hands
• A9 Processor, on par with an iPhone 6S
• Significant battery life compared to the iPhone 5S, and better than the 6S and some Android phones according to this review
• Cheap price. Unfortunately it's a bit pricey here, priced at 599 USD (due to the high tax rate of my country, phones are around 20% more expensive here). However, the 128 GB model of iPhone SE is cheaper than the 128 GB models of iPhone 7 (882 USD), and the iPhone 6S (758 USD).

Things I consider when I buy a phone:

• Battery life (I'd like to know if XZ and X Compact has battery comparable with iPhone SE)
• Phone size (5.2-inch is the absolute biggest screen size I'm willing to buy)
• OS smoothness/processing power (the thing I like about iOS is how it integrates very smoothly with the phone. I've noticed how Android phones on display in shops tend to be a bit jittery, and how the interface animations aren't rendered in 60 FPS at times)
• Price (the phones here are about 20% more expensive than phones in the US due to the high tax rate here. My budget is probably at most 750 USD, after the 20% tax in my country)
• Headphone jack (sorry, iPhone 7)

Thank you!