Here's a few basic settings for saving TIFF files, YRMV.
If you are working with a raw file and work in 16-bit color, simply save as a TIFF file, no compression, interleaved, and I don't think that the Byte Order (IBM vs. Mac) matters much today since with main-stream programs, each respects the other with this legacy setting.
Always save your master file, including layers, so you can revisit it as needed and so you don't have to repeat the time and effort needed to recraft your image! You can always dumb down your master file into an infinite variety of purposes, but a dumbed-down file, say you settled on 1000x1500 pixel jpeg file, can't be reworked back to your original quality.
Now if you normally shoot jpeg files and convert to TIFF, it's already an 8-bit file and you can save it pretty much with the above settings, with the exception it doesn't make sense to up the bit depth to 16 since it only creates a larger file with no increase of quality.
You can save some file size by using Lossless compression of LZW but with the size of today's hard drives, it's almost a moot point to compress your files. LZW does save 10-40% space on an 8-bit image, but sometimes makes 16-bit images larger. It will take more time to both compress and decompress the image and it may not be compatible with fringe software. In 20-plus years of working with TIFF files, I haven't found any problems in working with the compressed TIFF files other than when a client bought some funky program in a bargain bin that said it supported TIFF and later found it was some ancient flavor from TIFF's early years...
Pretty much the dialog box has giving you TMI and you need to simplify to the mainstream settings. IMO, the defaults as set in PS are usually quite adequate and you don't need to worry too much in the mainstream about them. It's one of those things that we tend to set once and forget and get back to crafting our images.
