Hi Christal,
Photoshop is not available on your iPhone. We have a set of different apps that will work on your iPhone: https://www.adobe.com/products/photoshopfamily.html
Since you have the Photoshop and Lightroom subscription, you can use all of the apps mentioned in the above link.
Please note that your presets, settings and app preferences will not synced to the mobile device since these apps are different than Photoshop on your desktop which is a full scale editing app.
Adobe Photoshop is only available on the iPad that has some of the editing feature, tools and functions like the desktop app. See: https://apps.apple.com/us/app/adobe-photoshop/id1457771281
Thanks,
Akash