How to create new object from old one with filtered values

I have an object:

const items = {
  a: [3,5],
  b: [6,7,8],
  c: [0,10,1111]
}

and the array:

const existing = [3,8]

I’d like to create a new object, but without values that are included in the existing array. I mean this one:

const newItems = {
  a: [5],
  b: [6,7],
  c: [0,10,1111]
}

Please about the tips!