Pros:
Tons of damage.
Good ganks.
Fast jungle.
Has bult in escape tools.
Good chaser.
Good in teamfights.
Not too item depended for damage.

Cons:
Very squishy.
Hard to play.
Noone likes eve.....

You need armor for sustain against the damage from minions and from champions ar early game so take flat Armor seals.
You need hybrid early game damage so take AD marks and AP quints.
And you need CDR for the spells like RW needed to gank and E needed for extra tons of damage and AS.

2 ad and 2 ap for some more hybrid damage.
10% armor pen. and magic pen. very needed.
lifesteal for extra sustain in lane / jungle.
Executioner for finishing off enemies.

Hextech gunblade for lane sustain and hybrid damage.
Trinity force... U know why its needed... It gives just everything u need(+ sheen and phage passive)...
Guinsoos rageblade for extra hybrid damage and has a very usefull passive.
Guardian angel and Banshee's veil for sustain in the fights( u arent THAT squishy when u have this items).

Q and E are the main sources of damage, one point in w is needed early and ulti is very good so just get it when u can.

TAKE WHATEVER U FEEL LIKE....
Heal very usefull at early game.
Ghost/flash for safety or chasing.
Smite when jungling.
Exhaust for even better ganks and for chasing.
Ignite for extra damage.

Basically how to play her is use W to get to enemies, then use E to deal extra damage and get attack speed for the W passive and just spam Q and hit and attack between each Q when you have sheen!!