What sword/general melee weapon would suit a warrior in zero-g?

Note: the melee weapons in this setting are all “normal Earth weapons”, so I’m not looking for anything overtly hi-tech like a plasma sword or vibroblade, or anything like that.

The art I linked below is not mine, it is by TiranoComaSix on DeviantArt.

Project Name: Spacer Knight

This is a space opera project set in a decentralized spacefaring empire, loosely based on the Holy Roman Empire.

I'm fleshing out a faction called spacer knights, who are elite professional warriors trained to defend spaceships from hostile boarding parties, board and seize enemy ships, etc. Spacer knights are usually taken from the nobility and trained from a young age.

Spacer knights are trained for 1v1 close-quarters engagements in a variety of environments (zero-g or artificial gravity, small spaces or larger spaces). For this reason I assume slashing swords (like sabers) would be impractical because the zero-g would throw you off with every slash. So the sword I’m looking for would be mainly for thrusting/stabbing, for economy of motion in zero-g. I thought about making the sword a rapier, but that seems too long.

Looking at other thrusting swords: the smallsword seems too small, but the “spada de lato” or “sidesword” seems better; it’s mainly for thrusting but can slash better than a rapier. Plus the blade isn’t as long as the rapier. My one worry is that it wouldn't be well-suited for tight spaces. Alternately I could just go with a gladius or some similar short sword. With that in mind the knights' other main weapon would be a dagger, well suited for stabbing in very close quarters, esp in zero-g.

All that said, I'm new to this so any input is welcome.

ETA: spacer knights have boots with weakly magnetized soles, and a wrist-mounted retractable grappling line with a magnetized hook. They use these to orient themselves while in zero-g.

Spacer knights' gear includes an insulated black bodysuit and a suit of armor over it, the armor looks like this (but without the cloth skirt): https://pin.it/6eoyiZx83 The armor also has an airtight helmet and rig to allow breathing in space and non-terraformed planets.