You can see videos of table riffle shuffle and box cut on the 21ace.com web site.
Here is the page with links to the videos:
http://www.21ace.com/poker_card_tric...e_shuffle.html
One advantage of the table riffle is that it is less likely to expose cards to people watching than the "bridge" shuffle that some people do. Also it mixes cards a lot better than an overhand shuffle. And it bends the cards less too.
The box cut (placing sections of the deck onto the table sequentially) is a way for the dealer to demonstrate that they are not controlling the top card of the deck. In casinos you'll see dealers will shuffle-shuffle-box-shuffle or shuffle-box-shuffle-shuffle. You should never box twice in a row -- because it may appear to be a false cut. And you should always end with a shuffle, never with a box.
Persi Diaconis, mathematician and magician, suggests that about 7 riffle shuffles are required to really mix a deck. I usually have time for 5 or 6.
Dealers usually also release the deck after the shuffle, making it clear that they are not palming any cards or retaining any portion of the deck when they cut onto a cut card.
I don't know a source for videos on dealing cards out (pitching) so that they don't flip over or get exposed.
