Here are the easy steps to share using AirDrop between iPhone, iPad and Mac.
(more info on Apple's website)

This works with:
iReal Pro format chart
PDF
MusicXML
audio WAV
audio AAC
midi
Setlist (for any playlist)

iOS
Single chart: Tap the Share button -> Export Chord Chart or Export Audio
Playlist: Tap the Share button at the bottom of the Playlist song column

Select the format

Tap AirDrop to show available the nearby AirDrop devices,
Tap on the device to send the file

Mac
Single chart: Click the Share button -> Export Chord Chart or Export Audio
For sending in iReal Pro format, choose Share -> AirDrop
Otherwise -
iReal Pro format, Save to disk,
Control-click the file in the location you saved it to,
Share -> AirDrop

Playlist:
iReal Pro format
Control+click on the playlist name
Export Playlist -> Share, choose AirDrop
Or iReal Pro format, Save to disk,
Control-click the file in the location you saved it to,
Share -> AirDrop

PDF format
Control+click on the playlist name
Export Playlist -> PDF, Save to disk,
Control-click the file in the location you saved it to,
Share -> AirDrop

Setlist
Control+click on the playlist name
Export Playlist -> Setlist
the list is copied to your clipboard where you can create a text document, Paste, Save then Share to AirDrop

AirDrop does not work with Android devices