Baby Pharmacy
Stock these before baby arrives. When it's 2am and baby has a fever, you don't want to be running to CVS.
Important
Always consult your pediatrician before giving any medication. Dosing depends on weight, not age. This is a list of what to have on hand - not medical advice on when to use it.
The Essentials

Kinsa Smart Thermometer
App-connected, tracks readings over time, tells you when to call the doctor. Quick and accurate. Worth the upgrade from basic.
Do
FridaBaby NoseFrida
Snot sucker. Yes, you use your mouth (there's a filter). Gross concept, incredible results. Baby will hate it. You'll love it.
DoSaline Drops/Spray
Use before NoseFrida to loosen boogers. Makes the extraction easier. Essential companion product.
DoPain & Fever
Infant Tylenol (Acetaminophen)
For pain and fever. Can use from birth (with pediatrician guidance). Dosing by weight - your pediatrician will give you a chart.
DoInfant Motrin (Ibuprofen)
For 6+ months only. Lasts longer than Tylenol. Can alternate with Tylenol for stubborn fevers (ask your pediatrician).
DoTummy Troubles
Gas Drops (Mylicon/Simethicone)
For gassy babies. Safe to use frequently. Can add to bottle. Works fast.
DoGripe Water
For colic and upset stomach. Some parents swear by it. Results vary. Worth having on hand.
DoProbiotic Drops
Some evidence for helping with colic and digestive issues. BioGaia is popular. Ask your pediatrician.
Worth tryingSkin & Sun
Babyganics Sunscreen
Mineral sunscreen for 6+ months. Gentle on skin. Reapply often. Before 6 months, use shade and hats instead.
DoHydrocortisone Cream (1%)
For eczema and rashes. Use sparingly and short-term. Check with pediatrician for prolonged use.
DoVitamins
Vitamin D Drops
Required for breastfed babies. One drop per day. Formula is already fortified, so formula-fed babies don't need it.
DoTools
Medicine Syringe/Dropper
For administering liquid medications. Often comes with the medicine, but good to have extras.
DoFridaBaby MediFrida
Pacifier that dispenses medicine. Can help with babies who fight the syringe. Not essential but helpful.
Nice to haveNot medical advice
This is a shopping list, not medical guidance. Always consult your pediatrician before giving medications. Dosing is by weight, not age. When in doubt, call your doctor.