Best Way to Connect to a Component's Solder Terminals?

Those jacks are not designed for sockets. The pins are irregular lengths, too thin and close together to be suitable for push-on connections. The datasheets for those parts clearly say solder terminations. Stranded wire, solder and optional heat-shrink is the proper termination.

Maybe a PC mount jack is a better solution for you?

https://www.digikey.com/product-detail/en/cui-inc/MJ-3502/CP-3502MJ-ND/281321