Managing the triple wire for these lamps was a bit of a pain. 

With this base the cables are always ready for charging and the lamps are kept organized. 

The model is split into three pieces so it should be printable on most machines. The tapered dovetails make for a fairly tight fit and can be glued for a more permanent fixture. 

The charging cables are inserted from below and then a press fit plug holds them in place. The press fit plugs have a hole where a 6x3mm magnet can be inserted to help hold the charging cable heads down. In practice this didn't work amazing and I'll probably end up putting a dab of hot glue in that hole to hold the charging cable head. 

The source file is included for remixing or improvement.