How to turn off snapping when moving selections a tiny bit

Use the arrow keys. If you’re zoomed in to 100% or more, it moves by one pixel increments. Zoomed out, it moves by 5 or 10 pixels depending.

I got a ‘Server Not Found’ -- for some reason, what you posted isn’t what I got.
http://https//youtu.be/c_nLpqO3RMQ

I removed the ‘http’ and got to your video.

[back from watching the video]

I see you use the lasso tool to select an area. Then I see a selection like you used the Rectangular Marquee tool. 

Any idea what happens after you draw the selection with the lasso? Control-T??