Lithium batteries are happiest between 20 and 80% state of charge. You should not store them outside of that range. Charging a little often also doesn’t hurt your battery like many seem to believe.
Charging while cold is bad, but storing in cold is good.
Also, NiMh and NiCd batteries are different tha Lithium based ones. Check what type of battery you have. Phones and EVs are almost always lithium though.