This nappy caddy was - and still is - a lifesaver! I got one for upstairs and then one for downstairs. Put nappies, nappy bags, sudocrem, muslins, change of outfit for the day, anything else you need like Calpol and you are all set up for the day and have everything to hand!
Yueshop Grey Felt Baby Diaper Caddy Nursery Storage Wipes Bag Nappy Organizer Container (Grey) amzn.eu/d/hWSglVA
DD is 3 now and one of them holds all her pants and socks, and the other is full of all her asthma inhalers, nail clippers, hair bands and brush etc to get her ready in the morning for nursery. So useful!
Also this nappy backpack:
Nappy Changing Backpack, RUVALINO Multifunction Baby Diaper Bag Travel Back Pack with Changing Mat for Mom and Dad (Grey) amzn.eu/d/gffiJjY
By far the most useful nappy bag we had!
I also absolutely SWEAR by Cheeky Wipes. They are cloth wipes that you wash at home and WAY more effective at cleaning baby up than the piddly little baby wipes you can buy.
Reusable Baby Wipe Kit - 25 WHITE COTTON PREMIUM Cloth Wipes, 15x15cm with Fresh soaking box, Mucky soaking box & Fresh and Mucky essential oil soaking solutions, 10ml (Lav & Cham, Teatree & Teatree Lemon) amzn.eu/d/4unyUUV
Cheeky Wipes seem expensive but you'll end up buying 2-4 packs of baby wipes a week for years and years, so it will save money in the long run.