[Zeke]

I've stayed out of this for now. But now I'll add my take. Moving the house is unnecessary. Raise it in place, it's easier to lay out the forms while the house is directly above. Gives a lot of info about plumbing, etc., which will be a factor.

No need to slide steel beams in from the sides, that's for when the moving platform is slid under the house and its lowered onto that. Raise the house from under with numerous jacks. The ones controlled by a single panel and have gauges on each for level would be the best. Keep the perimeter free of such equipment so that you can excavate the required depth and place your concrete with rebar. Build your stem walls in whatever manor is typical for your area and let that sucker down.

I've raised a corner of a house just enough to get concrete right up to where the new sill plate needs to be with a shim here and there, and let the house back down to level. All you need is a 1/4" if you know what you are doing.