Handheld it’s the Electrovoice RE50 and then everything else. It’s the de facto standard in on camera mics. The Countryman EMW or B3 lavs are great performers and reasonably priced.
For effective use of lavs you’ll need a wireless system, the Sennheiser G3 series with the plug on transmitter for the handheld mic in addition to the beltpack tx for the lav is a good value at around $600.
For a shotgun mic the Rode NTG-3 is a pretty good bang for the buck mic. What are you planning to use for a mixer to connect the microphones to the camera? A K-Tek Avalon series aluminium boom pole is a good choice for student use. Don’t forget headphones, shockmounts, windscreens and connecting cables.
Eric