1) Camera - a modern smartphone that can shoot 1080p is enough. Just make sure you have enough memory.

2) Tripod - cheap option you can go with a mini tripod (e.g. http://www.lazada.com.my/yunteng-228-mini-...0.0.fcptHR&ff=1 ) and set it on a table or something.

3) Software - Have a look at DaVinci Resolve free version. If you have a Mac, iMovie is a pretty good option.

4) Graphic & Text - You definitely dont need AI & PS for something this simple. Gimp.org is a good free choice. I think you dont have to worry too much on this. Just use good fonts (might want to read up on typography and basic font pairings). Look at fonts.google.com or dafonts.com.

5) Lighting - 2 or 3 table lamps with daylight bulbs is fine (all bulbs must be the same colour). Figure out a way to shine the light through something white & translucent (e.g. thin white paper) to soften the light (makes shadows look softer). If there are some dark areas, use a DIY reflector (tape some aluminium foil onto cardboard boxes) to direct the light.

6) Sound - if you are going to talk... a good cheap way is to use another phone as a sound recorder, with the earphone (with mic) attached. put the mic close to your mouth for best quality. Then you need to sync the audio in software.