Dust suppression is done during construction work on Earth; Unfortunately this is done by making the area damp to congeal the particles and spraying to help get the particles out of the air. With water (or other liquids) liable to be rationed due to resource levels we may have to come up with another idea. I suppose depending on depth large ‘vacuum cleaners’ could be run over an area to get the bulk of the lose particles up then rollers to compress the remaining tighter (which of course could run with a vacuum as well in fact a nozzle in the arch of each wheel/track of all vehicles could help). The captured regolith could then of course be processed for concrete / soil / whatever production it would be like harvesting something that could be a issue and making something useful out of it.
As for solar on mars we already know that can have issues due to dust storms … but at least someone could go out a clean them off after. However there will of course be a minimum power requirement for I expect the answer like here on earth will be a combination of techs. Geothermal heat pumps would make sense and depending on what Insight finds there could be other options … in fact any difference in temperature can be used to generate power or heating. Solar is of course a no brainier certainly with the performance reported from Insight and assuming a reasonably close to the equator position (efficiency decreasing with increasing latitude). RTGS could be a good solution as a backup/background source but would need serious consideration as to positioning etc (see the Martian when he goes grabs the one from a robotic mission). Of course despite many people saying its not ‘realistic’ in the surviving mars game Wind could also be an option … again wind on mars with thinner atmosphere not going to be as efficient and of course blades would have to be designed to take this into account … but they already have some idea of this to produce the rotors on the 2020 helicopter. Also of course during a dust storm limiting solar there is more wind for the windmills. Of course on the Moon no atmosphere so no wind but also only impacts and our activity to kick up dust. And on top of all of this shipping a load of battery packs wouldn’t be a bad idea.
The tech we need the most is the means of getting all this stuff to where it needs to be in the first place. So I’m most excited for the new heavy and super heavy lift vehicles that are being worked on. It would be great to see some sort of more efficient propulsion for large vehicles I have no idea how big an ION Drive can go but perhaps large ION thrusters on Interplanetary ships could cut down on the amount of fuel needed to be carried for interplanetary insertion and slowing down? Closed Cycle Nuclear engines look good for out of atmosphere use but there are obvious risks with launching radio active material so maybe once we have made our first steps and found something we can mine and use as fuel already up there without having to launch it from Earth.
The best existing tech has got to be 3D printing … Just look at what we are already doing with them … printing engines, body parts, and TMRO even had a guest who was looking to print entire rockets. This is still a very new tech and is already having a massive effect. Printing in orbit makes sense … only feed-stock to store in-order to have an infinite set (ok pattern storage drives needed) of part types available.