The Kansas City Chiefs received compensatory picks in the third, fifth, fifth and sixth rounds which means they now have 10 total draft picks entering the 2015 NFL Draft. The Chiefs would have had 11 draft picks but they traded their fifth round pick to the New Orleans Saints in the Ben Grubbs trade.
The last time the Chiefs had more than 10 picks in a draft was in 2008, which was one of the best drafts in franchise history. In that draft the Chiefs selected Glenn Dorsey, Branden Albert, Brandon Flowers, Jamaal Charles and Brandon Carr. If the Chiefs pick up half the talent as they did in 2008 you can still say it's a good draft.
You can not trade compensatory picks so the Chiefs won't be able to package those and move up. But they can trade their own picks so don't be surprised to see GM John Dorsey and head coach Andy Reid working the phones when the draft comes. Ten picks gives you so much flexibility.
Here's a look at all the Chiefs picks (H/T @NFLDraftScout for the exact picks ... I'll update this when the NFL officially confirms the picks)
Comp picks in bold