The vote requirements for Continuing Resolutions is no different than other bills that may be introduced to fund the government (Budget Reconciliation is the exception).
In the House, a simple majority.
In the Senate, a vote of 60 (three-fifths) is needed to end debate (cloture vote). Following that, a simple majority.
I'm in Germany, and don't know anything about the specialities of the Spanish or French constitutions, so please take this with a grain of salt. However, for the arguments I'm putting forward, differences in the constitution are mostly irrelevant.
I expect all 3 constitutions (ES, F, D) to require weighing the gained advantages against the disadvantages when ...