Boehner is on record stating that any legislation passed using the nuclear option will not be taken up in the House. ...We'll see though.
An empty boast, as this applies to nominees for judges and other bureaucratic posts.
Well, that might be good for stopping legislative bills, but the House has NO say in the nomination process, so it won't affect packing the executive and judicial branch with potentially despotic or partisan hacks.
The House must refuse to fund this presidential overreach, but I fear that the previous budget compromise of October 2013. If I understand correctly that compromise eliminated the Debt Ceiling unless Congress votes in February to restore it. Since the Republicans don't control the Senate, this won't happen barring exception circumstances. Consequently, in order to reestablish the debt ceiling in law, the Republicans need a 2/3 majority in both houses to override a presidential veto or a favorable president.