I can't comment on the DLR decks, but I can comment on the Apocalypse ones.
The main difference between Val and Maxx, as was mentioned, is Val has Blackmail and Maxx is faster. Val can get screwed if key cards are at the bottom of the deck, while Maxx has to be careful with using recursion so you can still play your Levy.
While the basic idea is to get money, then Apocalypse, then Keyhole, there's a lot of variations on how to go about it. And as always, you have to react to what the corp is doing. Don't be afraid to install stuff early, if that means you can get good accesses'. Sometimes you can win just by Keyholing, if the Corp has left R&D too unprotected. Installing DDOS and Keyhole, then making 4 Keyhole runs on the next turn (or more with Amped Up) can be powerful. Point being, don't get too caught on thinking you have to Apocalypse.
Cards to consider that aren't in the decklists you linked to: Sports Hopper (great to fire before Apocalypse so your hand won't get left too small on an Apocalypse turn), Making an Entrance, Hactivist Meeting (stays after Apocalypse!).
Cards to fear: Hostile Infrastructure (IHW works against it though), Turing, Crisium Grid, Architect, Jackson. Maybe some more, can't think of others at the moment.
Also, Amped Up is great. Don't take it out.