wheel balancing. yes. normally when installing a new tyre, the old weights in the rim get disturbed. also your new tyre may not have the same weight as the old ones. so yes, for fresh new tyres, its preferable to get fresh new nozzles, fresh balancing. clean the inside of the rim as well if needed.
why tire point specifically?
why not go to each brands own outlet?
below brands have own outlets that i know of,
nexen, yokohama, bridgestone.
always get the freshest tyre stock.