How to do a Basic Wire Splice

All good advice. I use a "paint stripper" electric heat gun. Works very well, light, and fairly inexpensive. I always double heat-shrink. For critical wet areas like underneath use "adhesive heat shrink" which has a gummy glue inside and seals, but is very expensive. I never use butt crimps. Those seem the mark of an amateur, but usually what you see from repair shops.
Those of us whose work is approved by the FAA, American boat and yacht council, etc. have to use butt connectors, because solder splices are not approved. That may be the mark of an amateur, but there's not a single OEM vehicle manufacturer (including riding lawn mowers) that solder splice wiring.