Sarcococca, I'm not sure just which one. Sweet Box.

In order on your website: 1. not sure, need a closer picture 2. L. angustifolia, but only an expert herbalist could tell you which variety 3. Santolina 4. I think an abutilon 5. possibly an acorus 6. Solanum rantonnetii 7. There are two species of Moraea grown, one with yellow flowers, the other with lavender. 8. Geranium "biokovo" on the right. The one on the left looks like a common weed species of geranium, but I'd need to see the flower to be sure 9. A Pittosporum of some kind The flowers look like Ipheion, but the foliage looks more like some sort of irid. If the foliage smells like an onion, it's the Ipheion. Podocarpus you're right Euonymous japonicus "microphyllus" Sedges and grasses are very hard to identify. You might try posting a picture again when it blooms, that really helps Arum italicum pictum a jasmine of some sort could be some sort of camellia, but just guessing Hopefully, I didn't miss one and get the order mixed up! You owe me one, girl ;-).

Transplanting of mature producing plants usually doesn't work. But what would you loose?) Only thing is, I wouldn't put them in the pots. I would use burlap, or even plastic sheet. Dig the plant out with as much soil as possible,place on the sheet and wrap. Then move and try planting without much disturbing root ball. No pot will hold roots grown in the bed.

Definitely agree with liriope and oleabder I am not sure the 2nd one is texas sage but maybe. Its hard to get a sense of how big the leaves are. Agree azalea is possible for the next. That might explain why it is yellow, because they are hard to grow in most of texas, with the eastern part of the state being the exception. I wouldn't tear up the garden yet, with the exception of the azalea maybe, You might have some perennials in there