Reply to Jill Farquhar
You will not have to kill the roots. Cutting off a conifer kills it and it will not regrow. Only broad-leaved trees regenerate shoots from the cut stump, hence coppicing. Cutting off the remains of the stump to get it out of the way can be a pain. It is awkward and hard work to saw level with the ground. You can get root grinders, but these are probably professionally used pieces of kit. Why not nail a board on the stump and make your own bird table.