Confederation Authorized Volunteer Armed Long Range Yeomanry
So I had a little fun looking over the possibilities of airships, which I suspected is pretty much exhausted of it's entertainment content, though I haven't touched on it's drone possibilities. The chassis attractiveness would be being cheap, and lack of complexity, in the sense of sophisticated engineering; sensor packages are scalable, which could just easily be installed on an anti grav drone, so it's a question, as with all things C.A.V.A.L.R.Y., a question of proportionality and budget.
The primary transport mode for C.A.V.A.L.R.Y. personnel are light ground vehicles, in it's most basic form, a four seat buggy for three men lances, which I think is about as feasibly cheap as you can get.
Modern militaries have uparmoured the basic jeeps light transports to protect their personnel, which considering the current threats does make sense, and the fact that a lot of counter insurgency appears to make patrols and sweeps along predicted routes and times, but increases weight and cost.
It's an interesting question whether you want an actual armoured fighting vehicle, which with the requisite heavy ground vehicle chassis, would cost a default four times more, or just squeeze as much as you can out of the light ground vehicle; I don't know enough to make that determination for Mine Resistant Ambush Protected military light tactical vehicles, though I'd configure a twenty spacer light ground vehicle to reflect their features as far as possible.
Next up would be armoured personnel carriers or infantry fighting vehicles.
There's some variation, as I don't think one size fits all, or different militaries have come up with different solutions.
When they retired the bicycle battalions, I thought that was kind of a pity, because you don't need roads to get around, and if you do have an extensive road infrastructure, you get around a helluvalot faster; but the logic was quite clear, trained soldiers are a limited and valuable resource, and you want them deployed at the correct place as fast and safely as possible. It's possible that once the frontlines get bogged down, and control of the air is heavily contested, the bicycle could make a come back. Pournelle does make a humorous allusion to it's possibility when he has the advanced reconnaissance company continue pursuit of the enemy with them, in Falkenberg.
My take on the Confederation C.A.V.A.L.R.Y. is that they prefer using wheeled vehicles (mostly because I figure that's the easiest to use as a skill slot, and they are cheaper than air/rafts, which would also require flyer). It's an interesting question on how large to make the capacity, and the solution most have come up with would be about section or squad size, reasons include that if the transport gets mission killed, you only lose about a quarter or a third of a platoon.
With tanks, it seemed the British appear to have the most epiphanies, like inventing them, and coming to the conclusion that you need a one size fits all, though unfortunately, not soon enough.
The concept of battle taxis means you need a protected, or non protected vehicle, that can take your troops to the combat zone and disembark them, then withdraw to a safe area, to either repeat the process, or collect them. Modern battlefields seem to deny, at a minimum, an immediate rear area where you can conduct operations somewhat securely, so you'll probably want a lightly armoured vehicle.
To minimize fatigue and exposure to other battlefield dangers, you might want to get the troops closer to the action, which requires more protection, if you don't want to set up a relay.
And since your (mediumishly) protected battle taxi is now really close enough to be in range of the enemy, you might want to equip it with weapons that can support the infantry it just deployed.