As tempting as it is to run up by the house and start, I always like to start away and work my way towards the house. Personally, it gets me tuned into the ground conditions for a particular site and I think its easier to pick out the good targets once you get close to the house where there is a lot of iron/trash in the mix. I'll usually start at about 75 yards from the house and work towards it, sometimes I'll even go 100-125 yards or further, just depends on how things are going and what I'm finding. I've located many outbuilding sites, fence lines, horse/wagon trails with this approach. I'd say that 9 out of my top 10 best finds were in the 40-70 yard range from an old stone foundation. People didn't sit around the house back then, they were out on their property homesteading/getting dinner/surviving, etc...
However, I'm still human so sometimes I'll run up to an old stone foundation more excited than a fly on a turd and start swinging and zigzagging like its my first time out. I might pull a button or musket ball, but then I'll gather myself and put a plan together. I'd hit every inch in the picture you posted.