Moving is no problem. I move mine all the time. The only setback is that the loader becomes noticeably front heavy with the backhoe attached. No big deal as the stabilizing feet on the BH108 are never more than 6" off the ground when moving. The worst that can happen is you may dig up some grass along the way when the feet contact the ground over bumps.
Also, don't go thinking that you can lift a backhoe attachment a few feet off the ground for traveling across terrain. You never want to lift a backhoe attachment more than a few inches, a foot at most. Backhoes are very heavy, at least any backhoe that can do some serious digging like the BH108 can. The loader will become dangerously unsteady if you like the backhoe more than a foot. Of course, if you're using a little toy backhoe, it will be much easier to attach/detach and move around but much less effective at digging.