You're definitely ready for them, in terms of gear level. There are some sub-optimal items, but by and large you look to have the stat priority in check, and a grasp of the fundamentals. Can't say more without logs, ofc.
You're a little low on haste to be using DP, at only 20%. DP doesn't surpass HA untill at least 25%+ haste levels. 2 options here:
1) Drop some expertise and pick up haste. 15% cap is great, but not at the cost of only 20% haste.
Be sure to get your JC gems too!
2) Run HA in the meantime.
Personally, if you're just starting heroic progression, HA will serve you FAR better for things like JinRohk (taunt swaps), Horridon phase 4, JiKun (taunt swaps), IQ phase 4. DP is decent on Tortos and Council still. Also not sure why you're using Purity (since I can't tell what fight you are/were on) but it's pretty limited in use versus UbS.
Trinkets will come, but you can pick up a Shado-Pan (489) stam trinket (mastery on use, macro'd to HA!) and it will serve you waaay better than the Vial you have now. And don't feel bad, I used the 502 version of your shield until our like 3rd HC LS kill