I'm sorry to hear you have to attend a funeral.

I took DS to a funeral last month, he wore fairly plain clothes - blue jogging bottom type trousers and a blue and grey striped long sleeved top. I was in black, but finding a black outfit for a child in just 2 days wasn't happening. (BTW, if I did it again I'd get some smart trousers and a shirt too, just all the local shops had sold out of these in his size.) A sober dress or skirt and blouse with a hat should be fine. Or befriend some goths with a baby, they may know where to get black baby clothes.

I timed DS's naps and got their early to ensure he slept through the service as I didn't want him to bother everyone. As it was, he was crying for 15 minutes before the service as he went to sleep then woke up for a few seconds during the reading - I made sure I was near to an exit so I could escape if I needed too, luckily DS just needed forcing back to sleep and he was OK after that. But I was prepared to leave the Church if I needed to, yes, supporting the family was important but them having a time to grieve without a screaming child is important too.

If Annika won't sleep and is at an age where she has a favourite (quietish) toy then take that.