Freetown, Sierra Leone was a likely destiniation for liberated slaves. Sierra Leone was originally founded by abolitionists in 1778 as a home for freemen from the Americas. In 1808 Freetown was taken over by the crown and used as a base for anti-slavery activities and an admiralty court was established there, to be followed by a court of mixed commission in 1817 (which was a joint court with another power such as Spain or Portugal in order to prosecute slavers according to international treaty).

What happened to the freed slaves was different at different times, many were cut loose in the colony, others were "apprenticed" either in Sierra Leone or in the West Indies which although perhaps less egregious than slavery, was another form of unfree labour.

In terms of integration in the colony, this was quite poor and a bit of a rollercoaster. The colony was quite diverse with a few white British, existing native population, the free slave population (from across West Africa) and Jamaican maroons. The native leaders were gradually pushed away, and certain groups like the maroons came to have prominent positions, only to largely lose this status later to be largely replaced by white British people. I think this can be viewed in the larger imperial sphere where anti-slavery merges with colonialism in the later 19th century.

I have to admit, I do not know much about the history of Sierra Leone itself, so hopefully someone else can jump in here!