Welcome. This is my first guide, so I don't expect it to be the best, but your feedback would be delightful. Please be nice and constructive with it also.
I will update as much as possible and to the best of my abilities.
Please try it and don't down vote without providing a viable response.

The items are phenomenal for hybrid Tryn. The burst damage with SS is great along with the great heals from BL. The item build requires you to get a lot of last hits. If your team has a jungler, it's always best to take the solo lane so you can focus on your farm. Always remember to use the active on you Hextech Gunblade. That, combined with the slow from Mocking Shout should give you plenty of time to kill off an opponent who has over extended to your side of the battlefield. Using the active on your Ghostblade is the most important thing to remember, using in a fight could be the difference to between winning or losing, or even making a clean escape. After you finish your Deathcap it would be wise to build a little more on the defensive. If you're facing a heavy AD team pick up a Heart of Gold and later turn into to Randuin's Omen, or if you're facing a heavy AP team, pick up a Negatron Cloak and later turn it into an Abyssal Scepter. Your game should be over before you make it this far, but if you have some extra money from a good farm or kill streak, a set of Phantom Dancers would be a good addition to the already deadly arsenal laid out before you.

For summoner spells I run Ghost and Ignite. Ghost can likely save your *** in an escape or help you chase that straggler at the end of a fight. Ignite is great for those early game kills and to ensure kills all through out the game.

Note: I take Ghost over Flash as SS allows us to move over walls. So, Flash isn't necessary.

Pros - Great burst damage
Great farm with high damage ratios on SS
Amazing assassin/AP nuke.
Great at chasing and escaping.
Cons - Squishy early game.
An expensive build if you aren't good at last hitting.
Can be zoned out on minion kills by heavy ranged carry harass.