Hi @thistletown71 are you in the UK? Generally the ones with ‘angustifolia’ or ‘intermedia’ in their name are hardy, sadly not the French ones (stoechas) with the tufted ears — at least not for me.
Depends on your location. If you're in the south of France all of them would be reliably parennial. In the UK not so much especially with the fancy French varieties.
Ideally they like full sun and good drainage. I think they would struggle under a bush, as they wouldn't get enough light. Could you extend the bed and plant them in front of the bush or bushes?
Posts
https://downderry-nursery.co.uk/shop/hardy-lavender/
Have a look at the lists of varieties here as a starter https://downderry-nursery.co.uk/