I have a NHR rooster over a flock of different breeds of hens. All my hens are large dual purpose hens like Del, NH, BA, and W. Rock. My question is if I hatch a clutch of chicks out will the babies also be dual purpose breeds. The reason I ask is because I herd if you cross a NH rooster over a delware hen you get good egg layer but the chicken is small only getting to approx. 5 lbs? I wanted breeds that would produce larger chickens for meat as I don't like the CXR.
You won't have "breeds", you'll have mixed breed birds. They'll be like any mix, a balance between the sire and dam. The crosses you're talking about sound like they should produce good layers and some nice table birds from the cockerels.