Oak Leaf is just a common name for H. quercifolia, and there are numerous cultivators, including some very nice dwarfs, so you should try to figure out which one you have. :)

The other three mentioned are all paniculatas. Compared to the other two, on Limelight, panicles are full of showy sterile blossoms, and they don't hold any of the button-looking fertile flowers. They also hold their namesake color for longer than the other two (though, not much longer in my honest opinion). The panicles are also more ball shaped than on Pinky WInky. Pinky Winky also has gorgeous red stems while growing, which I've never noticed on Limelight. I don't have any Quickfire yet, so I can speak on those specifically, except for the bloomtime, which is pretty well known.

Bloom order: Quickfire > Pinky Winky > Limelight

Quickfire starts about a month before most paniculatas, and I would say Pinky Winky is probably two weeks ahead of Limelight.

Only disadvantage to tree hydrangeas is their price. :)

Here is a link that might be useful: My Pinky Winkies