Chlorinating liquid or bleach will degrade faster at higher temperatures. See the chart at the bottom of
this link for chlorinating liquid (or bleach) half-life as a function of concentration and temperature.
I would be careful about storing Muriatic Acid and would keep it separate from chlorine and note that it will corrode metal nearby. Both Muriatic Acid and chlorinating liquid or bleach have pressure-relief caps so they will outgas their contents if pressure builds up.
As for freezing, Muriatic Acid that is full-strength (31.45% Hydrochloric Acid) has a freezing point of -50.8ºF; half-strength (15-16%) of -0.4ºF. 12% chlorinating liquid freezes at 5ºF; 6% bleach at 19ºF.
As was noted by Hottubguy, all the powdered/granular forms should be fine though even the granular chlorine will degrade in heat, but not nearly as quickly as chlorinating liquid or bleach. Dry acid should be fine. Baking Soda and pH Up will likewise be fine.