Difficult, but rewarding game
The Monster Hunter series of games has had something of a following for years among gamers who have looked for something more than your typical hack/slash games. They require a bit of patience and fore-thought, as well as some good observational skills. Success rarely comes from barging in with powerful items, but through observation and reactions that change based on the environment.
Monster Hunter World (MHW) continues that tradition and ups the ante a bit while reworking some of the basic mechanics to make it far more accessible for the average gamer. Objectionable content is restricted mainly to a "Bar" area, where the gamer's avatar can consume alcohol and become visibly drunk. The game is virtually bloodless, and violence is restricted to the Animal world, either hunter against prey or predator against prey. The very premise of the game is that hunting the monsters allows us to better understand them... a principle of conservation that is reflected on how many hunters in the real world view their roles in regards to understanding and aiding the natural world.
Armors in the game are constructed by the player with resources gathered through hunts, and while you can expect typical "Fantasy" female armors, the amount of "skin" is kept to a moderate level, midriffs and thigh exposed, but not excessively so.
Overall, MHW is a game that can be enjoyed by most of your family, provided they are not bothered by seeing the "natural" world in action. The biggest drawback to the game, however, is not in the content but in the challenge. My own kids enjoy the world exploration and resource gathering aspects, but shy away from hunting any large creatures, as the difficulty of tackling even some of the first big predators can be daunting for even an experienced player.