Choose a bookmark on the map and tap “Share”. To share all bookmarks in set at once, tap the double star symbol on the main screen panel to open Bookmarks Sets, choose a set and tap "Share” button or tap and hold the chosen set in the list y tap the Share option on the pop-up window. Choose how you would like to share it.
Alternatively, you can copy kml files from MapsWithMe folder (it's stored in the root of the internal memory). You can use almost any file manager. Some file managers like Samsung file manager can't read .kml or .kmz files, but you can use other file managers, for example, Total Commander.
Choose a bookmark on the map, tap it and then tap “Share” button in the place page. To share all bookmarks in a list at once, tap the double star symbol on the main screen, tap the icon with three dots in front of name of the list with bookmarks and tap Share in the pop-up window. You can choose from different options, like iMessage, iCloud, email, etc.
Alternatively, you can copy bookmarks (kml files, for example My Places.kml) directly from the app folder with the help of iTunes.