unless the splice is going to be in an unprotected, read wet, area i wouldn't use the 'good' heat shrink. I work on circuits in tanks, and we never use the oozing shrink, but then everything we do goes into a sealed box that gets leak tested, zero water ever gets inside...till the marines hose off the box with a fire hose - jerks.
One thing to mention about the solder. Most solder you will ever use is flux-cored solder. The flux is a chemical which acts as a heat transfer helping the solder gun move heat to the solder. Thereby giving more even heat and therefore a better solder joint. This is all well and good, except that the flux is corrosive. If you are splicing in a harness, and you want it to last 30 years, take some extra precaution. Use a brush with some alcohol and clean the splice prior to closing with heat shrink. This is all stuff we were told during our solder certification for a government contractor. I know we beat up our broncos way more than the military beats on their tanks, so every little bit helps.
Sorry for the book, just passing information.
Get solder with an RMA type core ( flux). Do not get RA or any of those no-clean types or the no lead stuff. Do not shop in the plumbing department.
Size does matter .035 is should work for Bronco work, to big you end up with a blob and not enough cleaning from the flux.