Ok, learned this too late so I thought I'd pass it on. When you turn these in (and you will get plenty to turn in), keep in mind to level the item before you deconstruct it. Non-leveled items get you a tier 1 relic. Take the item to level 2 and you get (3) tier 1 relics. Take it to 11 and you get (5) tier 1 & (3) tier 2 relics. Take it to 21 and you get (5) tier 1, (3) tier 2 & (4) tier 3. Take it to 31 and you get 1-3 shard, (4) T1, (4) T2, (1) T3, (2) T4 relics.
This keeps getting better as you go up. Some say take it to 31 at least, some say higher. Your call. Just don't deconstruct an item and not even level it up a tiny bit.