drain pipe for washer over flowing! Help!
If you've never used a washer successfully at your new house, then you haven't yet ruled out the possibility of a clog or blockage in the standpipe or anywhere else in the waste plumbing system.

Regardless, it sounds like the washer you have now empties a larger and/or faster volume of water into the standpipe, which is undersized for the new load. It's possible that your former washer used less water or emptied more slowly masking the problem of an undersized standpipe.

A more water-wise washer will alleviate this issue, but the real solution is to allow the water to drain more freely, either by unblocking a blockage in the pipes or replacing the standpipe with a larger-diameter one (usually 2" or larger nowadays).

Alternatively, you can rig up a graywater system by attaching the washer hose to a garden hose directed to something outside that you want to get more water. An overview of this sort of system can be found at http://oasisdesign.net/greywater/laundry/