shower for 4 month baby

For me 1) eye, face , ear & mouth with cloth & use clean water ( on my lap ) 2) wash my baby’s hair then wet cloth clean it ( not facing bathtub , just beside it so the unclean water will flow to the drain) 3) a few drops of shower gel into the water 4) gently tap on her chest area so that my baby won’t scared also letting my baby know there’s water ( I will keep talking to my baby ) 5) gently put my baby in bathtub while holding - wash the neck, body , armpits, private area, hands , legs n use cloth too 6) covered w towel