I prefer to grow large expanses of groundcovers next to each other. For example, in my front yard, my large expanse of soapwort abuts another large expanse of veronica pectinata.

Be aware that ajuga reptans is considered invasive in some areas of the country. So check with your county extension office to make sure it isn't invasive in your area.

Also, if one of the groundcovers is significantly taller than the other, the taller groundcover may eventually shade out the shorter groundcover.

Other than those caveats, I would say that you could just pick the two or three that look best to you and go for it. All of the ones that you mentioned will grow in shade.or part-sun in most areas of the country.

I think your real problem will eventually be the lily of the valley, which will take over.

I thought the same thing as laceyvail. Eventually all you'll have is lily of the valley.

I thought the same thing as laceyvail. Eventually all you'll have is lily of the valley.

If a groundcover grows well, it may dominate the area.
In back, around my roses, I put Mazus repens and Ajuga. The Mazus would be over-run by the Ajuga, if I allowed that.
I find low, groundcover Junipers almost like sculpture in permanence, with occasional and starting trees, as weeds popping through. And there are both Cotoneasters and Euonymus that seem very permanent, while not necessarily evergreen.