I have not had time to read all of this thread but my son is now 5yo and was diagnosed with torticollis and plagiocephally at about 6 months. I found the tort lump when I had him sitting on my knee one evening and being a paranoid mum immediately thought he had cancer!!! The lump was quite big and I don't know how we hadn't noticed it sooner. His head was visibly flat and sort of slightly pointed at the back.
He was referred to a paediatric physio by our GP and we were shown the exercises to do (as mentioned by others earlier in this thread). We were also told about repositioning but as he was a bit of a wriggler, it didn't matter what we did, he would always go back to the comfortable (and wrong!) position. When we asked about treatment for the plagio, we were told that some parents opted to buy a helmet, but at that time they were not available on the NHS (I don't know if that's still the case).
We did some searching on the internet and made the decision to get a helmet from here. They were very helpful and as we went for almost a year, I think we got our moneys worth! He started wearing his helmet at about 8 months.
Granted, the problem may well have righted itself on its own, but we'll never know and on the grounds that a lot of boys have short haircuts (and it would have been noticeable if it hadn't fixed itself) we opted to fork out the money!
We did get a few funny looks, but not many and I just stared straight back at people! And anybody who asked about it, I was more than happy to talk to them. It's also surprising how many children you notice wearing the helmet once your child is.
They come in pretty colours and patterns so it doesn't look like the tot is wearing a hockey helmet or something!
Good luck with your decision and I hope it works out whatever you do 