I was going to suggest chicken too - chicken portions roasted or southern fried the day before to eat cold as you work. Just have napkins or a roll of kitchen towels around for fingers.
Another one that's handy to eat as you go is sausage rolls, which are also great cold, so can be made today.
Quiche COULD fall into that useful category, but it's less easy to do as you go, and you'd need salads or something with it for the evening meal.
Try and have a bucket of cold drinks (anytime but especially in this heat) - either bottles of drinks or cans might be slightly easier (cos you'd need to have paper or plastic cups for bottles).
And perhaps a box of brownies or cookies or something sweet for flagging energy levels (flapjacks might be very good cos the oats would keep you going!!).
I must admit, when I am moving, I try to persuade the guys to leave a couple of plastic tubs alone in the kitchen - I have one with a savoury option (sausage rolls, chicken pieces, sandwiches, scotch eggs etc), one with something sweet, and a third with fruit. And a few cans of coke, orange etc on the side. Then everyone can munch on these as needed, and they are easy to pop lids on for new place to munch there as needed.
And definintely a takeout for the evening meal!!