Well, I admire you for not knowing anything about Tablet PCs but buying one anyway. That's the spirit!
A Tablet PC will run ANY MS Windows based software program. The only things that can be a limitation is if your software specifically requires a powerful graphics processor, something very few tablets have. That said, we have many artists using the programs you listed with no problem so I think you will be happy with your purchase.
Welcome to TabletPCBuzz!