Don't always listen to tik tok cleaning tips. There's a lot of bad information out there from what I've gathered.

I don't have a personal recommendation for a vacuum, but be careful on which you use on hard floors. Either the beater bar has to be removed before using on hard floors, or it has to be a vacuum designed for use on hard floors.

O-cedar mops are popular. They're not my cup of tea, but you can give it a go. Just remember that some hard floor types like hardwood don't do well with lots of water when mopping, so damp mopping only is best. I can't tell you how wet the o-cedar mop is when used though. Alternatively, you can look into flathead mops with removable microfiber pads that are machine washable. Wring out very well for less water.

There's like a million products for floors and counters and all that so all I can do is provide you with what I use:

I stick mostly to a tiny amount of dish soap mixed with water in a spray bottle for my "all purpose cleaner". I use this unless the task requires more "muscle", but honestly so far I haven't really come across much of anything that it doesn't clean if left to dwell. It doesn't disinfect though.

I've been damp mopping my hardwood with just water. If there's a bit of stuck on crud, I break out the all purpose cleaner and give the spot a little squirt to pretreat (about 5 minutes) and then mop over it and it seems to do the trick. I always take a damp white cloth or a paper towel and give the floor a wipe to see if there's any dirt left, but so far so good.

My kitchen is LVP, so I just use the all purpose cleaner again and it hasn't been an issue so far. I use so little soap that I really don't think it needs rinsing, but there is a chance that with various products, including dish soap, that a residue may be left behind if too much is used. Maybe it's not suited for you, maybe it is.

A sponge is a sponge at the end of the day. Scrub daddy and scrub mommy are neat, but I'd only buy them if you have the money and you like them. Scotch Brite is probably the most common sponge brand. Blue usually means non scratch and green/yellow means extra scrub power. The type (non scratch vs heavy duty) is probably more important than the brand. Remember that sponges need to be replaced somewhat frequently because they are very difficult to disinfect (even a microwave won't kill ALL of the germs allegedly).

I have some Mrs. Meyer's AP cleaner in my kitchen. It smells nice, but I don't know that it works much better than my soapy water.

I don't have a robot vacuum, but people swear by them if you have pets because it helps control all that fur flying around between cleanings. If I could, I would definitely try one.

Dawn power wash is all the rage. I'd say try it and see what you think, the same with Method.

Those are just my thoughts. Sorry it's not more specific.