Luckily I've kept them in pots from the last move, less than two years ago. I'm leaving a few behind, but there's a good reason for that and they're not irreplaceable.
My dicentra spectabilis alba (white bleeding heart) I put in the one and only strip of soil in my patio garden. It is still underground and I can't find it, so I can't transplant it. And my lovely blue clematis, which is about to flower, is in a pot that is way too big to move, and would suffer too much from a transplant. So I'm leaving it for the new tenants, and hopefully they'll enjoy it!
The rest are coming with me. I've moved some from heavy glazed pots to plastic ones, easier to carry, and I gave some of them a prune. I think they are looking quite good, I hope they will not suffer much from the move and will enjoy the new garden. I can't wait!