What checks on the bureaucracy does the Senate have?

Question

What checks on the bureaucracy does the Senate have?

Answer 1

They can refuse to pass a budget or cut funding to an agency.

Answer 2

The Senate confirms the president's appointments to the bureaucracy such as the cabinet secretary and undersecretary positions and bureaucratic agency heads.  This is a power that is unique to the Senate.  

The Congress as a whole (the House of Representatives and the Senate) can check the bureaucracy in many other ways, such as appropriations, investigations, creating new agencies, or dissolving existing agencies.