Resizing Photos

@Mike 7491 said:  I've assumed the setting I made is reducing the size of the photo and have been selecting Bicubic Sharper.

That would appear to be the best setting for you.  See the dropdown menu:

 Here is what the user manual says about the options:

• Select Resample Image, and choose an interpolation method:

  Nearest Neighbor  Fast, but less precise. This method is recommended for use with illustrations containing edges that are not anti-aliased, to preserve hard edges and produce a smaller file. However, this method can create jagged edges, which become apparent when distorting or scaling an image or performing multiple manipulations on a selection.

  Bilinear  Medium-quality.

  Bicubic  Slow, but more precise, resulting in the smoothest tonal gradations.

  Bicubic Smoother Use when you're enlarging images.

  Bicubic Sharper Use when you’re reducing the size of an image. This method maintains the detail in a resampled image. It may, however, oversharpen some areas of an image.  In this case, try using Bicubic.