Responding here since your duplicate post in technical will likely get deleted by the Mods since they try to minimize duplicate postings.
First, if you are doing true Scientific Diving that is sanctioned you will likely be put on an AP Diving Inspiration so keep that in mind. Most of the university and gov't programs use them so just keep that in mind. It's not a bad rebreather but admittedly I only use one when I'm doing that type of diving with the university.
My primary rebreather is essentially a KISS Sidekick and you mentioned that so I'll talk about that first. This type of unit is incredibly versatile because it can be clipped off like a stage bottle with a single tank backmount rig, doubles, or sidemount. For some reason this started on the right side of the diver but for a myriad of reasons I have mine on the left and is what I typically recommend. Downsides are it does not have dil/O2 "onboard" like the Liberty though with a sphere/holder on the bottom it gets pretty close. It's a super simple rebreather concept and it works well for what it is. Parts are the frame/counterlung, canister, head, 2x loop hoses, DSV/BOV. Not a whole lot going on which is great. For normoxic boat diving you hop in with a set of doubles for bailout, this unit, and a 50% AL80 and you're good to go, deeper just adds extra deco bottles.
This unit is really sensitive to trim changes both in roll and pitch so if you're doing a lot of heads down stuff for survey work it's not ideal.
Next in line is the Liberty which is an infinitely more robust unit and is fully self contained. Again, it was technically designed to be used on the right but I much prefer it on the left and it also makes it usable with backmounted bailout. It does not use Shearwater electronics which is a putoff to some people and it is very complex in terms of not only the head but also the number of parts that have to go together to get it to work. Frame, canister, scrubber, lid, 2x elbows to counterlung, counterlung, loop hoses, dsv/bov. It's a lot, takes a lot longer to assemble, but you have the sled with the tanks on it which makes it fully self contained except for bailout. The biggest downside to this unit is it is BIG! I'm 6'3" and I would not want to be any smaller to dive this unit, it's a behemoth and can be a bit unwieldy if you are on the smaller size, cough
@grantctobin cough!
Biggest advantage is the head is fully modular and fully redundant so if one module fails you can buy a replacement module and install it yourself vs. shipping the head back. The others don't have any electronics other than the isolation boards but if somethin goes wrong or you need a cable replaced you have to send it back to get it serviced which can prove irritating if you are out of the country.
The other potential advantage for the Liberty is that the canister and loop can be quickly and easily adapted to the backmount frame. Spend an $3k or so and you'll get the full backmount kit with the iBov, lungs, loop hoses, etc. so it can quickly go between the sidemount frame and the backmount frame. The "Liberty Heavy" is a boat diving machine for deep technical dives and is how my Meg is configured which is the unit I use when I'm on a boat.
Same concept as the Sidekick where you can treat it like the left side sidemount bottle or a stage and attach it to any backplate/wing setup for backmount or as the actual left side bottle in sidemount. If you aren't doing long cave penetrations you don't need to connect the bailout to the unit so it is truly self contained but if you are doing long cave dives you'll want them connected because 2l just isn't enough gas.
This unit has the lungs higher up on your body so it is less sensitive to pitch but is still very sensitive to roll.
Downside to either of the above rigs in their sidemount configuration is the loop hoses are under your arm and for working dives it can definitely feel like it is in the way compared to a rig with backmounted counterlungs.
Sidewinder/Gemini are the current cool kids on the block. Technically they can be used under a backplate/wing but the backplate really does need to be customized to handle it which limits its versatility a bit. Advantage though is that it isn't really a sidemount rebreather, it's a backmount rebreather that is really wide. This lets you have traditional loop routing and is the only one of the three that is really practical to use with a BOV. The others can have them adapted but it's really awkward. This is probably first on my list of the lot for cave diving but definitely last on the list for boat diving.
Locating the O2 for this unit is irritating. If you stay with sidemount configuration for bailout you can't really sit because the O2 bottle is underneath your butt and if you are diving it with doubles you have to stash the O2 bottle somewhere, typically where you would put a drysuit inflator bottle but then it's on the wrong side which isn't ideal.
This unit is not particularly sensitive to trim whether in pitch or roll because of the lung location, though all rebreathers are fairly pitch sensitive compared to OC.