Plumbing in the basement?
My reason for asking about the floor drains was to get an idea if your main drainline ran under the floor, which it evidently does. You now have a choice to either tear up concrete to tie dirctly into the main, use a floor drain for the washer, or find where the main line comes down from upstairs and tie in there (much easier). If you decide to use a floor drain, you still need the stand-pipe (to keep the washer from siphoning while in use) and I would highly recommend a filtering device at the end of the pipe to keep lint from clogging the drain. I have used a knee-high nylon sock tied to the end of a pipe for lint and when it is full, remove and toss it out. They are quite cheap.
If you have never made a mistake, you haven't done much.