What scalp home care products are good for beginners to start with?

I'm a beginner, and I'm concerned about increased hair loss and a burning sensation at the crown of my head every time I wash my hair. Shampoo alone doesn't seem to be enough, so I'm thinking about starting a serious scalp home care routine, but I'm not sure where to start. Are there any effective scalp home care products, like cooling sprays or scalp packs, that are gentle on the skin?

How do you care for your scalp at home for your red, sensitive scalp? Are there any products you've tried that have helped relieve itchiness or burning sensations? Even if I'm new to scalp care, could you share any tips or recommendations for products you've settled on at home?