Considering a business trip to Entebbe, Uganda, from U.S. East Coast JFK/EWR.

As a UA 1K I can use SWU's on any segments flown on UA and LH; not considering CO.

All flights to EBB appear to connect in ADD on Ethiopian.

Wondering which departures from within Europe (CDG?AMS?LHR?FRA? others?) offer best options.

Many thanks!