Id and prunning advice please

Hi there, new member here and not much of a gardener (so far).

But have a new house and hoping to keep the garden as nice as it is now so need some advice.

I have a hedge type plant growing behind some small ferns (i think).

I need to relocate them and as you can see by the picture i kind of spreads inbetween below, up and over anything surrounding it.



It has quite a nice fragrance which may mean its some sort of herb.

I could do with a few things

1. whens the best time to relocate it?

2. what is it?

3. prunning? about 1/3 of the plant is actually green. the other 2/3s looks like dead growth beneath the green parts (in total i spreads over about 2-3 foot). how should i prune it? and can i cut it right back to the roots for relocation (to say 1 foot with no green parts left) and let it restart its growth from there?

thanks.

 

The grey leafed thing is probably Helichrysum italicum, aka The Curry plant. Needs a hot dry spot. Normally pruned in Spring. Can be cut back to new buds at the base of shoots and will normally regrow from them.