Everyone must have their tools confused. Maybe this will help:
Reciprocating saw:
The blade moves back and forth (reciprocation)
--------------------------------------------------------------------------------
Saber saw:
Just like a reciprocating saw, but made for cutting on flat surfaces.
--------------------------------------------------------------------------------
Jigsaw:
Just like a saber saw, but mounted on a table.
--------------------------------------------------------------------------------
Bandsaw:
Similar to a jigsaw, but the blade is a continuous band that moves in one direction.
--------------------------------------------------------------------------------
Circular saw:
A miniature handheld table saw.
Cannot cut curves.
--------------------------------------------------------------------------------
This should help clear some things up.
Remember that many people call a saber saw a jigsaw, but now you know better.
As for the question, I reccoment a saber saw and circular saw for building a cabinet.
If you can only choose one, go with the saber saw.