The first thing a cat owner should know about home décor is to keep it simple. Cats are completely convinced that they are in charge, that the house and its possessions belong to them, and that they have every right to break rip or shred anything they like. Even a well trained cat (a possible oxymoron) will occasionally get overzealous, and with an inadvertent sweep of their tail will knock your favorite decoration from its place to a pile on the floor.
This disregard for your possessions, overt or otherwise, requires that you use some strategy when deciding on the placement of various decorative pieces. This is going to amount basically to common sense. Any surface that a cat can reach, they will walk on. Therefore low shelves or dressers should not contain any objects that are fragile.
Items should be moved towards the middle of a surface, or back against the wall, to prevent them being knocked onto the floor. Items that have a broad or sturdy base should replace other more top heavy objects. Decorative accents that can shatter, such as ceramics or stone statues, may have to be replaced by steal or wood.
One way to display fragile items is to move them up. High shelves that are isolated from cat “stepping stones” will be out of dangers way. The same may be true of tall dressers, although unfortunately some cats will take a tall isolated dresser as a personal challenge, which they simply have to climb. Your décor will have to be matched to the personality of your cat.