Soothing = combats razor burn.
Cooling = provides a cooling sensation when applied. May or may not be soothing.
Aftershaves are very personal; you'll have to find what works for you. Baxters balm is a good choice if you like cooling sensations. There are many other good ones out there like C&E, Harris, L'Occitane.... and don't even get me started on the traditional alcohol-based varieties.