They'll have no problem commuting. Just get them into the habit of coming to you when you shake a tub of grain (do this right from the start, and they'll get the idea). Then, when you let them out in the morning, just lead them over to their place of work, drop a handful or two of grain to keep them occupied, and then close the run up behind them. They will need fresh water at all times in their run, and a small sheltered area would be a good idea too, even if it's just a piece of plywood raised off the ground a bit on legs. You'll just need to make sure you reverse the process before evening, as otherwise they'll get very agitated if they can't get home once their tiny brains start signalling bedtime!
The disadvantage with having the run totally separate from the house is that when they then come to lay mid morning, they won't have access to the house and nest boxes. Assuming true free range is out of the question, it might be worth considering a permanent run around the hen house, and then a smaller moveable run that you can put them into for a few hours at a time in the afternoon / evening for weeding duties. You could use your electric fencing for this, or I once also made a floorless wood/netting run that worked very well. It was basically a 2m x 2m box just taller than a hen, with netting walls and a roof, and could easily be dragged around by one person.
To be honest, if you're planning on starting them in a fixed location around their house, then that will be fine to begin with. By the time you want them to work on other bits, they'll be settled in fine, and you'll be well used to having them around and handling them too.
Hope that helps!
