The degasing can be done any time from when fermentation has completed (meaning the same SG reading for 3 days in a row), to never (if bulk aged for 18 months or more). Realize though, that the sooner you remove the CO2, the sooner you'll be adding K-meta to keep the wine protected; the CO2 expelling naturally in a warm (spring, summer, fall) environment can protect the wine to a certain degree, provided it's bulk aging and you're not removing the airlock often.
Personally, I degas when fermentation is over to accelerate the clearing process. But pectin enzyme pre-ferment, bentonite added on the 3rd day of fermentation, and degasing post-fermentation are the only things I add/do to clarify my wines, besides time itself. In most cases you don't need anything more than that, if you have patience.
The process you've outlined can produce a clear wine, but is by no means bulletproof. Time is generally needed no matter how much manipulation is involved, so don't trick yourself into thinking that you can manipulate the wine to clarity. It'll still need time, either way.
The only sediment to really be scared of, is that first settling of gross lees - mostly fruit particulate than can decay and spoil the wine. After that, time is on your side as the sur lees, which is mostly spent yeast cells, won't hurt the wine too bad. Sure, there's wine styles and particular yeast strains where you don't want to leave it sitting, but by and large, it's not a point of stress in winemaking.
As for stabilizing, it depends on if you plan to sweeten the wine or not. If you do plan to, it's a sorbate+sulfite addition to consider it stabilized, but if you're leaving it dry, then you only need to sulfite it. Most new winemakers have a hard time dialing in the acidity-sweetness-body-alcohol balance at first, and it takes some sweetening to make the wine more palatable, so you're probably looking at sorbate+sulfite.