Multiple Pickers

In order to avoid overlapping, don't forget the zIndex and zIndexInverse properties.

<DropDownPicker
    zIndex={3000}
    zIndexInverse={1000}
    ...
/>

<DropDownPicker
    zIndex={2000}
    zIndexInverse={2000}
    ...
/>

<DropDownPicker
    zIndex={1000}
    zIndexInverse={3000}
    ...
/>