Autozone or other parts store that offer free diagnostic will hook up an OBD II scanner to the DLC (Data Link Connector) in your car to check for trouble codes. They should be able to give you a printout of the trouble code(s) or you can copy them yourself.
For the air intake removal, you need a 10 mm socket and a ratchet drive or bit driver and a screw driver. Start by unlocking the clips on the air filter box (driver side, behind battery). Replace air filter if dirty. Next, disconnect the MAF sensor connector (push in the tab until it clicks to release the plug). Check the condition of the connector and receptacles and clean as required (use Contact Cleaner or CRC MAF Sensor Cleaner). Inspect condition and disconnect 3 rubber tubes (mark them or take pictures if you are not familiar). With a screw driver (or 8mm socket?), loosen the clamp to the throttle body. There could be 2 or more bolts that needs to be removed to fully release the air intake. Separate the air intake from the TB and lift it out. There is another clamp close to the MAF sensor which you could loosen to access the MAF sensor. Use CRC MAF Sensor cleaner (@ $8 from Autzone) and spray into the MAF sensor element (inside the tube). DO NOT touch the sensing element with bare hands. For the throttle body, use Carburetor Cleaner (@ $4) and a rag to clean it. Never spray directly into the TB as the cleaner can seep into the TB sensors and damage them. During re-assembly, apply Dielectric Grease (@ $10) on MAF Sensor connector to prevent oxidation/corrosion.
Per your information, the rough idling is only when the engine is cold and goes away when engine warms up. So the coils and plugs should be good. If the EGR valve is stuck open, then you will have a rough idle (too much air into combustion chamber). A vacuum leak can also cause rough idle and lousy acceleration. A sticky/dirty IACV will cause rough idling. A defective Knock Sensor will result to crappy acceleration (no effect on Idle) due to ignition timing retard. Other sensors, when erratic, could cause rough idling.
Again, due to numerous possibilities as to what is causing your rough idling, get a free scan first, check the condition of the air intake and look for obvious sign of leak. Clean intake components as required. Refer to the link below for access to the FSM (Factory Service Manual). You can read the various chapters but pay close attention to EC (Engine Control), EL (Electrical System) and MA (Maintenance).
http://www.nicoclub.com/FSM/maxima/2000/fwd.pdf