I use DMC or Anchor for redwork and for blackwork. But I have to admit that I prefer Anchor. It's well known that I'm not just relaxed, but almost horizontal and don't stress about little things, like type of thread, seam allowances, pre-washing fabrics or not, etc. But....... if I look very,very closely at work I have done with DMC (and I use a lot of DMC for all sorts of needlework) and work done with Anchor, the redwork or blackwork with the Anchor thread is just a very little bit more 'crispy'. The DMC thread seems to be a bit more fluffy along the edges. But it actually doesn't make much difference.
If you really want to treat yourself then you'll look for a silk thread. Soie Cristale by The Caron Collection is excellent. It's a 12-ply 100% Italian silk (I normally use 2 strands) and is lovely to work with.
I use more or less strands of yarn depending on what sort of design I'm stitching. I tend to use more strands for outlines and less for filling in shapes.
And don't feel that you have to stick with the red. It may be called redwork, but it can look stunning in a dark green or purple, or a very light grey on a navy background.
And then there are all the space-dyed and variegated threads..........
You may have guessed that this is one of my favourite subjects.