I would only solder SS or galvanized cable. The coated cables are going to just not like heat and solder.
Cut the cable cleanly, use a decent soldering iron (I used to use a 100 watt iron but that's overkill), rosin core solder works well. A little flux helps it wick in but isn't necessary. Heat the last 1/8 to 1/4 inch of the cable and apply the solder to the cable not the iron.
Soldered ends look clean and professional, but I like the little aluminum caps on my old bikes because they look original.
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"One of the most important days of my life was when I learned to ride a bicycle" -- Michael Palin