Burlap will certainly keep he deer from damaging you shribs but a better option would be deer netting. Deer netting is a black plastic mes that comes in large sizes for wrapping shrubs and small trees that deer love to munch on. You don’t really notice the netting on the shrubs where burlap would be much more obvious. You should put you deer netting on in mid to late October after the leaves have fallen from the trees.