Name tags for everything!
Also nursery practitioner here Definitely waterproofs and for this age waterproof baby booties (look them up they are great) LOTS of changes of clothes despite our best efforts your child will get messy during messy play and or meal times and we cannot send them home dirty. Sleep suit if nursery doesn't provide their own
@Elizabeth honestly socks are the worst to keep track of and no one thinks to lable these 😂
Dark coloured trousers, patterned t shirts - these hide the mess more!!! Personalised bag? - nice to have. Waterproof trousers. Water bottle.
Nursery nurse here, I would say plenty of spare clothes that you don't mind getting ruined by messy play and paint etc just incase. It would also depend if the setting supplies cream, wipes etc too. I would also say all in one waterproof coat for the gardens along with weather appropriate items such as thick coat and winter hat, sun cream and summer hat during the warmer months etc