Your setup sounds a bit like mine, however we don’t have a run and have a larger coop. The run would have to be about 35 square feet. (3 standard and 1 bantam) i recommend actually netting the top of the run. So hawks are scared to swoop down...you can also use string...good luck!!
I personally would not put them at the friends house...it takes a while to integrate chickens...but if you are leaving for a month...I personally would leave them in the coop with food/water. The sitter can come by, refill their feed/water as well as let them out to play for a few hours...