Is that spherical bush some kind of evergreen? If so, you may be better off maintaining it as it is, just cutting the Eonymus back to keep it from taking over more of the sphere. Removing the Eonymus fully will leave gaping holes in the sphere, which may not fill in.

Now I see why you call it your spherical bush. It is a conifer and I love the shape of it, but there does appear to be an Ivy and the Euonymus growing within it! If it were mine, I would trace the top of each stem of Ivy and Euonymus down to the base, if possible, snip it off and then perhaps make a little sphere of the Euonymus to the right of the Conifer. Good luck Hank!

Thanks guys, will be into it tomorrow

It is an evergreen Tug and I have one that matches it exactly on the other front corner of the house. (Minus the euonymus of course ).

You might find that the euonymus has killed off the gree underneath - fingers crossed.

I hope not S, i've just severed everything leading up into the tree.

Oh well it had to be done anyway. Fingers crossed!