Before comparing individual products, decide what problem you are solving. Coarse hair can mean dense facial stubble, thicker body hair, fast regrowth or a beard line that needs regular tidying. Each use case points you towards a different basket.
If you want the closest possible wet shave, razor blades or a multi-blade razor are likely to be central, with a gel or foam to help create a consistent layer between skin and blade. If your main concern is comfort, look closely at products labelled for sensitive skin, such as Gillette Fusion Hydration Sensitive Shave Gel 75ml, Gillette Satin Care Sensitive Skin Shave Gel in 75ml or 200ml sizes, Nivea Sensitive Shaving Foam 200ml, and Gillette Series Sensitive 200ml.
If you use an electric shaver, a pre-electric product such as Blue Stratos Pre-Electric Shaving Lotion 100ml sits in a different role from shaving foams or creams. It is worth comparing it separately rather than assuming all shaving preparation products do the same job.
For beards and moustaches, the decision may shift towards Beard Washes, Beard Oils, Beard Waxes & Balms, Beard & Moustache Scissors or Beard Dyes, depending on whether you are shaving cleanly, shaping edges or maintaining facial hair between shaves.