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[Weizen1988]

My goal is building a pond that fills up to 3/7 (thats still pathable right?),to use as a bath house, little soap stockpile pretty much just because, a well, if possible setting up a mist generator in the entrance (could use the water that fills the tub?), and ideally, filling the room with steam (unless this will like, tank fps in which case I wont bother), and designating it a meeting hall or sculpture garden so dwarves will go in and get cleaned up every so often.

So, questions are I guess, how many squares of 3/7 water are made per square of 7/7?
Is that even how liquids work?
How big can the pool reasonably be?
Instead of the mist generator, can I just make the water fall from above into the pool?
How to do it with minimal pumps?

[Dunamisdeos]

Water will spread out to 1/7 and fill the area it is contained in.

For a 7x7 area you would need I guess 23 or so squares of 7/7? Since each square can make 2.14 blocks of 3/7. I ain't no mathamagician so make sure someone else checks first.

[PatrikLundell]

Also note that spreading water is subject to evaporation (1/7 depth will randomly evaporate, while 2/7 and deeper stays forever. Magma evaporates according to the same rules, by the way). This means that a sufficiently large area will never fill, because eventually the evaporation will match the influx (Unless you fill it in stages).
You probably want to aim for 3/7, but it's no harm if you get some 2/7 tiles, with the 3/7s sloshing around.

[Fleeting Frames]

Depending on setup, drawing from trench and filling back is can be a good idea - only (perma)flowing water will move contaminants away (and they'll otherwise be erased only by cleaning jobs, changing the tile by digging, building on the tile or with magma/(adjacent fire?) ).

Pumping and piping to move water around will affect your FPS. Not much in the scale you're thinking, but simultaneously trying to path thousands of tiles of water into a destination will result in large slowdown.

Not sure about steam generation other than high temperature + water - usually, steam's an annoyance that does nothing when you want to obsidianize.

If you have infinite water source, can do it with 0 pumps - minecart on a track stop dumping into a wall makes for a passable drainage, while map edge or aquifer options work faster (and give you permaflow) Otherwise, you might be able to make do with single pump feeding from itself in a loop when triggered - this would wash the contaminants into the intake.