How do I teleport all nearby entities within a certain radius?
If you are in 1.13.2 or 1.14.*, you should be able to do this:
tp @e[dx=5,dy=5,dz=5] -2697 80 -3401
This will teleport all entities around you in a 5x5x5 cube to the point -2697 80 -3401.
If you want to teleport all entities in a cube around a specific point to your old house, this should work:
tp @e[x=100,y=150,z=200,dx=5,dy=5,dz=5] -2697 80 -3401
This will teleport all entities around the position x=100,y=150,z=200 in a 5x5x5 cube to -2697 80 -3401.
Try it out, I think it could be what you want.