Welcome to the club! Here's hoping you will make it to the convention in July/August so we can meet in person.
Decorating with flow blue is always a hot topic. Many, many people use the regular wire plate hangers with good results for plates, platters and drainers. I try to only use ones that have plastic coating over the hooked ends. It seems like a kinder, gentler contact between hanger and plate. It's a good idea to take a little piece of wire and tie the plate hanger to the screw where it will be placed. That way if the hanger comes off the screw or nail head, the twisted wire is a second line of defense before it hits the floor.
Lots of people hang platters with wire hangers, as well. Personally, I like to use old hymnal racks that you find in antique stores. Once attached to your wall they are extremely sturdy. Just be sure to measure the depth of the piece because platters can be thicker than you think.
Frame shops and craft stores often stock round "picture" frames for collectible plates. Using those can really help a plate make a statement on a wall.
Plate racks on the walls, whether wooden or decorative metal, and plate rails near the ceiling give solid homes to your plates and platters, also. If you have plates on an open plate rail, it's a good idea to stretch fishing line across the center of the plates from one end to the other. That way if the plates are jarred they won't tumble off, but be caught by the fishing line. It is a virtually invisible way to protect your plates just a little more.
The possibility does exist that wire hangers will damage the glaze of a plate or platter over time from the constant pressure. I don't think it's a frequent occurrence, though.
Congratulations on your inheritance. I hope you enjoy it for years to come.