Should I still take my son outside?
You can use winter tires 365 days a year if you want, although it is a total waste in summer. There is only a time restriction on STUDDED winter tires, which damage the roads in warm weather. 39:3-81 Use of Studded Tires: Use of studded tires approved between 14 November and 1 April or as determined by director.
Rubber is probably the best. You want it to be water and hydrogen proof, but it does not have to deal with heat.