How easy is it to turn my w&d hook up around to the other wall?

It should not be a major problem. If you take the plastic insert out it should expose the plumbing. Make a small opening on the other wall to acOpen a small hole in the accommodate the pluming. Reset the faucets and it should work. Good luck!

First where are you located because unless it is a place like Phoenix which never drops below 25 for the most part I wouldn't do it due to freezing issues. Easy it depends on skill sets & having the proper tools. You need to open up said wall, cap the lines, drill through the concrete, run elbows & new lines out. The biggest issue really is the drain & if you are doing it, talk to a local building inspector for what is & isn't allowed. Heh you might be able to get away with running it out to a lawn - i.e. gray water (use special detergents)

http://thehtrc.com/2011/going-off-grid-21st-century-greywater

You would need to shut off the water main and hot water supply line at the hot water heater. Check to make sure no water is flowing, Cut the opening larger to reveal the pipe connections. Remove the hookups and the plastic insert. Drill a hole through the wall for the hookup on the other side. Attach the insert in the hole, connect the piping from the kitchen side. Drywall the opening on the kitchen side. Turn the water on and check for leaks. Your water connections will be reversed so make sure you mark them.

Not easy but not the end of the world either. You need a qualified licensed contractor and / or plumber and will cost a few bucks, but totally worth it in the long run if you plan on staying in the home. Could also be good for resale too. Get a number of bids and see if it is something you can do.

The electrician would be rather inexpensive, I believe the plumber would be as well. It's easy for pros not for diy. Get several bids, hire a pro. You'll be glad you did.