I'd really like to see some pics of your house/barn etc. In your case, moving the house isn't an option anyway....from what I remember, the age, the plaster walls, and said wings, would make it near impossible.
A modern standard home....a 4 square....is the easiest to move, ranch style, not so easy, or houses built on slabs....it all can be done, but with like all things it will cost more. For the DIY'er, tunneling and filling as you go would prob be the best option, but as Fido and RH said, ask around in your area first.
I live about 5 miles from the big Miss, and it makes a huge loop around the county I live in, so on three sides we have the river...plus the Ohio dumps into the Miss about 15 miles away....and we set right on top of an ancient aulacogen..."the New Madrid fault"....so basements here are not very common, and many of those that exsist do have minor to major leak problems. Often, during the spring/early summer...the ground here becomes squishy, one flip of a shovel, and you've hit water. Our well, for watering the grass and such, is only 18ft deep....our two wells for city water are 115 and 120 ft....and very clean because of the mile deep sand deposits that fill the rift.