Reddit mentions of Shark IONFlex 2X DuoClean Cordless Ultra-Light Stick Vacuum, IF251, Blue

I recommend the shark ionflex: https://www.amazon.com/gp/product/B074F2YGBF/

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I bought it right before we had our daughter and it is perfect for what you are describing. It folds up when not using to put into a corner. The batteries come out to go in a charging dock so you dont have to have the entire vacuum near an outlet to charge. There are 2 batteries so if you do a bunch of vacuuming you can switch mid way through. The only downside is the colection bin is a little small so you may need to empty it out mid clean if doing a bunch of rooms at once. For just a room it will hold stuff just fine. We had a friend hire someone to clean our house for us as gift before the baby came and she loved it when she tried it. So I take that as a good sign when someone that cleans for a living approves.

I did a lot of research & settled on this amazing $79 steam mop from O-Cedar last year:

https://www.amazon.com/Cedar-Microfiber-Steam-Extra-Refill/dp/B00US9PSKU/

Notes:

• Add water using the included cup, plug it in, turn it on - and in less than a minute, it's ready to go
  
• No chemicals required due to hi-temp steam
  
• Only requires water to operate (I haven't had any problems with my tap water a year into using it, fwiw)
  
• It uses washable microfiber pads that stick on like velcro
  
  Tips:
  
  

1. Push it slowly to allow the steam to do its just, don't use it quickly like a broom
   
2. Hold it over really sticky spots for 30 seconds to let the steam do the work for you, then scrub it off
   
3. It will self-evaporate due to the heat, so just give it a few minutes to steam off the floor - this steam mop system has made my floors feel better under bare feat than any mop or chemical cleaner or DIY cleaner mix I've tried previously!
   
4. It's a boring approach, but divide your room into lines that you can reach with your arm, then start cleaning from the furthest point away from an opening into another room, use the mop in parallel lines side to side, then take a step back & do the next batch within arms reach; you have to go a bit slow for the steam to work, but this way you're not just mopping all over the map inefficiently - you actually get the job done surprisingly quickly this way, it's only a few minutes per room if you're willing to do it slowly in chunks
   
5. I'd recommend getting a pack or two of the aftermarket pads for cheaper than OEM - get a bunch of them, because they should (1) only be washed with other microfiber pads (otherwise they'll pick up lint), and (2) NOT be washed with fabric softener or bleach; this is a minor hassle, which is why I recommend getting a bunch of them, so then you can wash them together (I also use microfiber towels for drying my car after cleaning it)
   
6. Some flooring manufacturers do not warranty the use of a steam mop on their product, so make sure you're aware of that fact; fwiw, I've been using it on my textured vinyl wood-plank flooring for a year now with no bad results, and tbh, I'd rather redo my flooring as needed & enjoy the convenience of using the steam mop for regular cleaning because it's such a lower hassle than using a regular mop (also tried a mop robot, wasn't a huge fan...the vacs are great but the mopping one was mediocre...and this cheapo model is so easy to use & quick that I don't mind steam-mopping my floors as needed)
   
   My overall cleaning kit is pretty simple:
   
   
7. Small spills = paper towels (hard floors) or spray carpet cleaner (carpets)
   
8. Mopping = O-Cedar steam mop
   
9. Vacuuming & sweeping ("electric broom") = Shark duo stick vac (absolutely fantastic)
   
10. Carpet cleaning (shampooing) = Hoover unit (with Carpet Miracle cleaner solution)
    
    My cleaning schedule is pretty simple:
    
    
11. Clean up small spills immediately as they happen
    
12. Vacuum & sweep daily using the Shark unit
    
13. Mop twice a week using the O-Cedar unit (wash the pads as you get enough to run a laundry load)
    
14. Carpet-clean once a month using the Hoover (I do half a room at a time & just move the furniture to the other side of the room to wash one half of the floor & then let it dry...makes the chore super-easy, instead of being a big huge job)
    
    It's really nice to have an instantly-usable set of good tools to do your daily cleaning functions with. I don't like cleaning for hours & hours or having to do a lot of heavy lifting...this setup enables me to quickly buzz through my chores so that my flooring stays clean all the time without much effort!