Here's what I understand of schmovement so far:

If you press crouch while walking in any direction or right before you land (from any jump or fall), you'll slide, giving you some speed. It's not faster than sprinting (that I can tell), but again, you can do this in any direction (including backwards), which means any of the derived techniques can be done in any direction as well. Sliding is also just useful for squeezing under projectiles situationally (especially those horizontal bar lasers).

Also I want to emphasize that "right before you land" property, it's very important to understand that if you want to slide after a long fall. It feels a lot like wavelanding (from SSBM).

If you jump during a slide, you can retain the speed and travel further. You can do this in any direction, including backwards. It's also often easy to get a head-bonk right after a slide-jump if you slide jump at an enemy.

When landing from a slide-jump, you can slide again to retain your speed, and then jump again during the slide, and then slide again, and then jump again, etc. You have some air control (which I don't fully understand) so you can keep this chain going for a very long time while navigating around obstacles.

Get any simple explosive weapon (anything that behaves like a rocket launcher) and shoot it at your feet while jumping, and you'll be boosted mostly straight upwards. I don't think crouching in midair does anything for you, unlike in TF2.

Do a rocket jump, but slide into it. This will greatly boost your slide-jump's reach and speed. You can also angle the rocket up more if you want more a more vertical arc instead of horizontal distance. You can also whip around and shoot the rocket behind you more to get a really low launch arc, or just slide backwards to begin with (so you're aiming backwards already) to get that easy low angle high speed launch.

Logically enough, you can chain slide rocket-jumps into each other until your weapon runs out of ammo / overheats, which feels quite extreme and has very quickly made rocket weapons my favorite type.

Another way to extend a rocket slide-jump is just to shoot the ground beneath you with another rocket before you even land, which will redirect your flight arc back upwards while retaining your speed. I noticed this while using an Ice Cannon with the Hitscan modifier, and presumably it's harder to do without Hitscan rockets.

Ice Cannon and Graviton Launcher feel nice for rocket jumping since they're energy weapons so you can go for longer without reloading, especially if you're using them just for rocket jumping and using your other weapon (or melee/abilities) for damage. Ice Cannon in particular has a very large explosion radius making it easier to glide with.

Flak Cannon (essentially a big heavy auto shotgun) is a little notable having the potential altfire "Flak Grenade" which is a grenade that detonates on impact and therefore can be used like a rocket for rocket jumping, which works well to close the distance on enemies so you can use the shotgun-like primary fire.

All in all, there's very little reason to ever actually Sprint, as far as I can tell, and it's very fun to even just slidejump sideways/backwards while shooting.

There's also a Demoman Sticky Bomb like weapon (I think it's named "Mine Layer") and I haven't messed with the movement implications of this at all yet so I dunno if you can stack mines to super-launch yourself like in TF2 or not.

Also the official RoboQuest twitter themselves tweeted this demonstration of using a bunny-hop to extend high speed, but I haven't been able to replicate it (at least trying to use just a jump to extend speed after a rocket jump or rocket glide). May be missing something. Comment if you know what I'm missing!

Edit: I've been able to replicate what's shown in their tweet more or less; it feels like there's just a specific timing window when landing after using one of those jump pads specifically, where you can extend the momentum for a jump or two, but not indefinitely (not full momentum-maintaining bunny hopping).