Neither House Finches or House Sparrows pose a problem at bird feeders. At least no worse than any other songbird. Both the House Finch and House Sparrow are protected as they are songbirds. If you can afford hunting equipment, I suggest you spend a couple of bucks on a good bird identification book before you go blasting away. My guess you have English Sparrows which are an invasive species and not protected in most states. Most people cannot tell the difference between a House Finch and a Purple Finch in the winter. The House Sparrow looks nothing like a House Finch. The House Sparrow looks completely different from the English Sparrow. I hope you do a better job of indentifying what you shoot at when you hunt!