Sadly, the most rational, easy, and functional way to have round edges on models is to have it in the mesh. Game engines don’t work like offline renderers in most cases like this. The only way to have your existing Static Mesh smooth out sharp corners exactly how you want is to make a Displacement map for each object and then tessellate it in the material, which can get a little tricky (not to mention expensive for performance). Content Examples Sample Project for Unreal Engine | Unreal Engine 5.1 Documentation
For this workflow, you would need to create a smooth, hi-poly copy of every piece of furniture and then bake the displacement map. You may also be able to bake a tangent normal map to give the illusion of a rounded corner, but that is hard to get working perfectly. For best results, you would go in and smooth out the meshes by hand before putting them into UE4. I could be wrong, but I don’t think there is anything that can detect edges and tessellate them by itself.