A common way to do this is to place a texture image on top of your photo as a new layer in Photoshop.

Basic workflow:

1. Open your photo and a texture image.
2. Drag the texture onto the photo so it becomes a layer above it.
3. Try different layer blend modes to see what looks best.
4. Adjust the layer opacity to control how strong the effect is.
5. If needed, stack multiple texture layers for a more complex result.

Good blend modes to start with are Soft Light and Multiply. Depending on the texture and image, other modes like Color Dodge or Divide can also produce interesting results. The right choice depends on the brightness, contrast, and color of both the photo and the texture.

Photoshop also includes built-in texture effects under the Filter menu, including options such as canvas or craquelure, which can be a quick way to get started.

In short: use a real texture image or Photoshop’s built-in texture filters, then experiment with blend modes and opacity until the texture feels naturally integrated.