Transfer apps between 2 Lumia 950 XLs?

I have a Lumia 950 XL with hardware problems and may get a new one. I store all apps, pics, etc on an SD card, not the main phone. Is there a way I can drop the new chip into another brand new 950 XL and not lose app data? Most of my apps do not support the cloud, so the data is stored with the apps themselves.

If there is no way to avoid data loss, can someone recommend a phone ecosystem that would prevent app data loss? I never want to go through this again.

Thanks.

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