I can't say for sure what your source codec is, but judging from the filenames on your timeline, it looks like you shot with a Canon DSLR. The codec for Canon MOVs is H.264, as far as I know.
So, my recommendation would be to export with the following settings:
Format: Quicktime
Codec: H.264
Quality: 100%
Resolution: 1920x1080
Frame rate and field order will depend on what you shot in. Look in your project window for this information.
Aspect: Square Pixels
See below for reference.
If you find that your filesize is too high, check "Limit data rate" and experiment with different values. Higher values = better quality and larger file sizes. Smaller values = worse quality and smaller file sizes.
