Self-Care

That ^^ is a proven fact. Shampoos remove the sebum [natural hair oil] from your hair and scalp, giving you that squeaky sensation. The skin recognises the lack of sebum, and increases production. 

If you don't want to ditch the shampoo, you can improve matters by cutting back on the shampoo, by trial and error. Your target should be to use slightly less than will cause the squeaky effect. That squeaky feeling tells you that you have stripped your hair of all it's protection. That is why you need to replace the sebum, with hair conditioner. The conditioner will remove the squeaking.