As others have mentioned, a syptic stick is basically a band-aid for shaving cuts. I have sensitive skin & I solved that problem like this:
1. I shave in the shower. Take a shower & then shave at the end, that way your skin will be hydrated & warmed up.
2. I use one of those 5-blade Mach-whatever razors & Edge gel cream in a lather.
3. I have an anti-fog plastic mirror hanging on a hook (they sell kits for cheap on Amazon)
I've tried everything from electric razors to safety razors to those Dollar shave club razors, to various types of lather, doing it before & after the shower, etc. For me, the above method (in the shower, post-shower, using a name-brand 5-blade razor, with gel lather) was the magic formula. Wake up, workout, shower, shave, DONE!