1. Hat and sun protection! Kite stakes? - I've never owned one and very rarely seen the need for one.
2. In Peter Peters Kite site there is a suggestion of the order that you can learn tricks. http://www.idemployee.id.tue.nl/p.j.f.peters/kites/basics/flying.split.html
basic launch
basic landing
pull turn
push turn
combination turn
stall
spin stall
snap stall
leading edge launch
fly away
pancake
belly launch
cartwheel
axel
180 flat spin
wing tip stand
Below I modified the list, but that is only my point of view/experience:
basic launch
pull turn
basic landing (a bit earlier than the above list - But it will always come down, won't it?)
push turn
combination turn
stall
turtle (I added)
snap stall
axel
spin stall
cartwheel
pancake
belly launch
wing tip stand
leading edge launch
180 flat spin
fly away (???)
While you are at PP kite site - a trick list: http://www.idemployee.id.tue.nl/p.j.f.peters/kites/basics/funcidx.html
See it as a reference list in which you later might increase your (depth of) understanding of. It can serve as a complement to all the videos.
A well documented case of learning how to fly duals can be found in @Happyspoon 's blog "Learning to Fly Dual Lines": http://kitelife.com/forum/blogs/blog/17-learning-to-fly-dual-lines/
3. Learn, learn, learn that when launching your hands forward the kite will stop/slow down. Really remember this when being close to the ground! No, the kite will not break if you throw your arms forward before impact. Also try to be more than 500m downstreams of any objects on your field to get the non-turbulent winds.
4. Modifying your question - now relating to all my duals. The parts that I've not broken are: The centre T-connector. ferrules, endcaps inside the nose, endcaps on battens, endcaps on stand offs, upper leading edges, top spreader, possibly the spine and possibly the bridle. Also when the design is so that the lower spreaders are connected with a rod - I've never broken the rod. BUT EVERYTHING ELSE I'VE MANAGED TO BREAK! Parts that are prone to breaking or rather the common failures are: broken lower leading edges, broken stand offs when caught on something or a line is around them during start and a worn out nose so that the spars pop out through it. If the inside of your lower spreaders on the spine side are not plugged (if the connection is such that you insert the LS to the fitting) it might snap during a hard snap stall.