In my world the human race exists on an infinite plane; 250,000 years of history conspire; things happen; and BOOM: a modern empire that controls what it though to be the "world" embarks on a new age of colonization. 

After 50 years it faces a problem: A huge-as-Hades ocean lies between its farthest flung colonies and whatever that lies to the south. No one has ever been across it; some say it goes on forever while others say it is uncrossable. Due to the government of the aforementioned empire not wanting to be bottled in – there is a very large polar region to the north and extremely dense desert and jungle continents to the east and west – it pools the vast wealth, resources and modern technology of its great nation to construct a fleet of colony ships.

The Ships must cross 250,000 miles of ocean and must transport a total of 10,000 people to establish the colony (since it is so far away).

My Question is: what facilities, capacities, or amenities would such a fleet require to go the distance?