Tracey...just be careful of using "weed"...it can work unexpectedly...as is the way it has been written.
I tend to just trace (no pun intended) over polylines with excessive vertices using osnap END to get the actual polyline I want. Can always U if what I see is not what you want. Doesn't really take that long.
On the other hand, with todays powerful computers, polylines with heaps of vertices shouldn't really be a problem.
Just my 2 cents worth.......