getting rid of trees and plants

1.    A PLAM TREE HAS JUST STARTED GROWING RIGHT BY            MY HOUSE.
BESIDES CUTTING IT AWAY, HOW CAN I PERMANENTLY GET RID OF IT?


2.     ALSO, MANY SMALL BRANCHES OF A "HO;;Y' TREE HAVE ALSO STARTED. I
WOULD LIKE TO GET RID OF THEM TOO WITHOUT HURTING THE SURROUNDING SCHRUBS,
IF POSSIBLE.


HELP!

THANKS