Car seats
Double pram or double from birth pushchair (that goes flat for a newborn) or some kind of fibulae travel system, slings if you want to use them
Cot or Cribs or Moses Baskets plus mattresses and bedding (blankets and sheets or swaddles or grobags), room thermometer
Sleep suits (with built-in scratch mits are best), vests, cardigans, blankets, hats, other baby clothes
Nappies and wipes or cotton wool balls, changing mat, changing bag for out and about
Nappy cream, baby bubble bath, baby shampoo, baby nail scissors, baby lotion, hooded towels are useful but any towel would do
Bottles, bottle brush, steriliser if you plan to express or use formula, formula if you plan to use it, breast pump if you plan to express, dummies if you think you might want to use them