Källbukten Camping is a wonderful destination that offers all the amenities you require. The reception is welcoming, and you can rent paddle boats and motor boats. The shallow water zone and jetty are perfect for children. Additionally, there are only a small number of permanent campers on site.
This place should be on the list, I don't know why it wasn't already. The reception was really friendly and the pitches are really spacious, some even have a view of the water. They also offer boat rentals for fishing trips in the archipelago.
We stayed there alone for 2 nights on 27th September, due to it being off-season. The bathroom facilities were clean, and the owner was very kind and helpful. The location is as described by others, it is very beautiful. We would definitely come back again.