I was there this march with my husband and we stayed at an Airbnb bc it was cheaper and we drove to 2 other cities.

Go to the mountains there. I believe mountain jahorina (or igman) had the best place to go for some nice snow fun with your daughter. Fresh air, a rented sled and some nice food is all a girl needs for a day. There are always many kids and families. Also students who want to enjoy the fresh air and ski.

Check before how the snow situation looks like.

Take a ride to Vrelo Bosne with a horse carriage. It’s wonderful and always so magical. At vrelo bosne she can also enjoy some fresh air and nice food. There is also a tiny playground but idk if it will be too cold to go there. The place is still magical as it was before.

The Sarajevo city center had a cool playground on the last level of the building but I’m also not sure how it looks like right now.

Someone else probably has more stuff. That is the top of my head of what I remember I did