Set up some bird feeders. My mom has a lot of cardinals that visit her back yard. She lives in a wooded area and birds are all over. None attacking windows. She does have a little bird area with about 5-6 feeders with different foods for the different birds and a bird bath. Since your house is new I assume you live in an area that recently had trees taken down, therefore you moved into their space.
Also, if you read about the presence of cardinals I think you'll be pleasantly surprised. It's not an omen, that is an old wives tale. 4951