Shemales or Transsexuals

[Bandolero]

Well I give up!

I'm new to this forum and I'm confused.
I always thought "shemale" would not be a nice term to use and it seems I was right.
However, what is the difference between a transgender and a transsexual.
Personally I would like (as a partner) a feminine girl with a functioning cock.
Is that a transgender, a transsexual or even a crossdresser?
I love Asian ladyboys, so what do you call them when they still have a cock?
As I said, I'm new to all this and don't want to offend anyone, just want to use the right definitions.