Like you, Vaultman, I lean towards Marvel but do enjoy DC on occasion & used to read more of it than I do now. That being said, I've always read The Flash. He's my favorite DC character no matter if Barry or Wally's in the suit.
Right now, we're 3 issues deep in a 4-part weekly crossover between Batman & The Flash called
The Price of Vengeance that's running in both books. You have to know a few recent Batman side-characters, but the story is quite good & you should try & find it or wait for the trade.
As far as trades go here are a few I've enjoyed, all being written by Geoff Johns, who I think is the best "modern writer" of the Flash beginning w/ his Wally West stuff & finishing w/ his Barry Allen' take.
1)
Flashpoint - If you haven't read it, you have to. It's fantastic & continues to be relevant in the modern DCU -
2)
Flash Rebirth - Barry comes back after sacrificing himself in the original Crises. Lots of Reverse-Flash goodness. If you like the CW show, they borrowed a lot from these stories.
3)
Blood Will Run - This is pretty much when Geoff made the jump from Green Lantern to Flash & it's a Wally West' Flash story. The trade incorporates 3 connected 3-4 ish storylines all adding up to a great "Cult" tale that I loved.
4)
Geoff John's The Flash, Book One - the 1st 12 issues of John's run, this collection is excellent & Scott Koling's art on 1/2 the stories is wonderful. Just pure, fun modern Flash using a cadre of his great villains.