Moving a Desktop Computer to Ecuador

I am planning to move to Ecuador and currently have a desktop computer.  I was wondering what the procedure for shipping would be.  What if any would the tariffs be if it were shipped and would this be a wise move?

Would there be any way to put in the luggage?  It would fit, but I am not sure of the taxes etc.

I know I can take 2 bags under 55 lbs. or so, one carry on & one under the seat.  Is there any tax on a carry on laptop carried on the plane that way?

Thanks so much for the input, I was not really wanting to get a laptop & move everything over to it.