For moisturisers, quite a few mums I know swear by Cetaphil or Suu Balm, both are gentle enough for daily use, though Suu Balm is more targeted for eczema itch relief while Cetaphil is more of an all-rounder. Aveeno is another option that comes up often, but some babies with more sensitive skin did better with Eucerin since it's quite mild. For laundry detergent, my friend switched to Agape Nature (only four ingredients, no fragrance) and noticed her baby's eczema actually improved after the change, though others have had good results with Pigeon Baby Laundry Detergent or Cloversoft pods, which you can get at NTUC. The honest truth is it varies by baby, so maybe start with one change at a time so you can tell what's actually making a difference.
Hi mum, I went through this also with my little one and eczema can be quite trial and error, so don’t worry if you haven’t found the “perfect” one yet. For moisturiser, many mums I know use thick, fragrance free ones like ceramide-based creams or plain petroleum jelly type because they help lock in moisture better than light lotions. For laundry detergent, I usually stick to gentle, baby-safe, fragrance free types and avoid fabric softener completely since that can trigger flare ups. Also try to keep skin moisturised very regularly, even when it looks okay, because consistency really helps reduce flare ups over time.