Hello there, Cycry060. Thank you for posting your question to the Apple Support Communities. We’re happy to help you find the best solution for transferring your photos over to your new iPhone.
From what we understand, you have an iOS device backup but do not store any photos with your iCloud storage at this time. As it turns out, your iCloud device backup will save a copy of your photos and videos that are on your iPhone.
If you create a device backup using a computer, this backup will contain your photos and videos as well.
It is important to note that when you do have the iCloud Photo Library enabled, iCloud data like photos and videos would not be included with your device backups.
You can find more information in the following Apple Support articles.
About backups for iPhone, iPad, and iPod touch - Apple Support
What does iCloud back up? - Apple Support
How to back up your iPhone, iPad, and iPod touch - Apple Support
Restore your iPhone, iPad, or iPod touch from a backup - Apple Support
We hope this information helps you find the best solution. Please let us know if you have any other questions.
Cheers!