If you don't use extra, separate flux, definitely use at least 2% flux cored solder. The addt'l flux makes soldering easier, allows the best joint possible without applying excess solder to a joint. If you had an ISO compliant manufacturing related workflow where every tiny aspect had great control, no touching part leads and controlled humidity, short time from unpacking recently manufactured or sealed parts to soldering, etc, in these very optimized conditions you might want 1% flux core.
Otherwise, for our purposes 2% is a very good idea for best joints with least effort. It might seem like you'd use up your solder faster this way, but in practice I doubt it, generally you end up applying no more solder, maybe even less because what you do apply already flowed so well with higher flux % in it.
What you have linked is Kester 245, it is not rosin core solder like the ebay listing claims. It is a no-clean formula meaning the flux hardens to an almost clear hard coating. This cannot easily be cleaned off like rosin core can with alcohol. I don't recall what solvent does best to remove it, maybe the Kester product that removes it lists that in it's MSDS.
Kester Website, 245 Product Page
The solder *most* of us would use (the equivalent product from Kester) would be 285 which is a mildly activated rosin core. The part number for this in equivalent product is 24-6337-9713. Another popular solder also suitable for electrical work is Kester 44 Activated Rosin. It's like the mild but not as mild. It'll wear tip tips a slight bit faster and isn't needed for clean parts, but old parts have a bit of oxide buildup it will clean off better. If you were stuck on a deserted island you'd want 44, but 285 is more appropriate for headamps. It's splitting hairs though, either will generally do fine.
Any of these three flux types will work fine for headamps/etc, but if you dislike having a clear residue remaining on the joint then don't get no-clean solder. It's not very unattractive and does not get gummy over time (and at higher humidity levels) like some rosin flux does, but some people are more picky about these things than others - to each his own.