You need get to cochin through bus or flight , then take cruise from cochin to lakshadeep. this wil be most fun way to reach lakshadeep. flights also available i think directly from cochin to lakshadeep.
Go directly to kochin dn contact the SPORTS organization for hotel and everything
dn from kochin go to lakshadweep. u cn take the samundran package
for details watch dis vdo
You need to reach cochin via suitable mode of transport and then from cochin, you can take a ship from the Lakshdweep ship wraf which is pretty cheap like around Rs 400-500.
You can also fly to Agati Airport (Lakshdweep) from Chennai. Don't forget about government permissions needed to enter the island.