A full-service burial or cremation is one in which the funeral home provides a ceremonial or religious service along with the actual burial/cremation. A minister may speak, a eulogy may be delivered, music might be performed, and so forth.
In a direct burial or cremation, the remains of the deceased are buried, but the funeral home provides no religious ceremony of any sort. In that case, the next of kin may opt to hold some sort of memorial service at a church, or even in someone’s living room.
In addition, in the event of a direct cremation, the ashes of the deceased aren’t necessarily buried or placed in a mausoleum – they may be taken home by the next of kin to be kept elsewhere, or scattered someplace that was special to the deceased.