If you want the vector paths to remain editable save as eps with 8-bit tiff preview.
More info than you need: this is an eps file. The tif part is just the preview, or the thing that shows up in the window when you see it on your monitor. The information that gets sent to the printer or imagesetter is hidden in the eps part of the file (which is more efficient for vector-created images). A lot of programs are unable to perform the computations necessary to display vector info, so they need a preview to make it possible to see it on screen. IBM uses tiff format for that. Mac uses pict by default, but can also use tiff.
If you export as tiff you convert the entire file to nothing but tiff data, and lose your vector path info. Lines won't be quite as clean, and you limit your ability to resize the document. A vector path can be enlarged upward pretty much indefinitely with no loss of clarity, but a tiff is limited by the ppi you select.