Camera, microphones, and editing software will cost you quite a bit more than $3k.
As to microphones, you can buy very good consumer-level wireless microphones ideal for the kind of interviews you mentioned from Azden.
You don’t mention what type of computer you have. If PC, i would recommend Adobe Premiere Elements, for the Apple Final Cut Express. Both of these will allow you later to move up to their professional equivalents – although they allow you to produce really professional videos in their own right
Heidi
