I'm a big believer in 'simpler is better'. My concern with using the 'Finish Line' product would be, if you ever use your knife for any kind of food prep, there may be some additives and other chemicals in there that you might not want to ingest. Considering that the 'Finish Line' lube is originally made for bicycle chains & such, I'd personally find something else.
Many people get by just fine with something like mineral oil. You can get it in a 'food safe' variety. A lot of knife people use the 'pharmaceutical grade' mineral oil, sold as a laxative. There are other possibilities for lube, such as a product called Break Free (I haven't tried it, but a lot of knife nuts seem to like it). Others get by with just an occasional spritz of WD-40 (which is a mix of solvent, which evaporates quickly, and a little bit of light mineral oil). It's all I've ever used for my knives. The main thing is, keep the knife clean & dry when you aren't using it. So long as it's cleaned regularly & kept dry, the lube won't be as much of an issue.
By the way, if you've had problems with your lube of choice staining your pants pocket, I'd bet you're applying way too much. Excess oil will also attract & hold more dirt & lint. Just a very light drop or two in the pivot will be fine, and wipe away any excess that oozes out after exercising the pivot.
Keep the knife clean, and lube it very LIGHTLY with whatever works best for your needs. That works very well for me.