I agree that installing an actual female jack directly into the mic body can be a pain, but a female plug is pretty easy if you just put one on the end of a 3-4' wire 'pig-tail' coming out of the end of the mic...straightforward solder job, no harder than putting a male plug on the end of a longer hard-wired cable. I personally like being able to plug a standard guitar cable into my various mics rather than having each one hard-wired, and you can just tuck the pig-tail into your belt. Just another possible option.......
Strain relief is a generic term meaning some way of preventing damage to the insides when you pull on the cable. There are many ways to do it. Tie a knot in the cable on the inside, wrap a bunch of tape around the cable on the inside, put a wire-tie on the cable on the inside. All these things give the cable something to pull against other than the fragile element inside the mic.
A dfemale 1/4" jack is great on a mic. Allows you to use any standard guitar cable. But it can be hard to install, just depends on the mic.
If I understand you right you'll be soldering a guitar cable with a 1/4" into your mic. When you strip the outside insulation off the cable you'll find an outer braid - thats the ground connection. You have to unravel it and then twist it together and put some solder on it to keep it from unraveling more and shorting things out. But watch the amount of heat you apply or you'll melt the insulation around the center conductor. You then strip a small bit of insulation off the center conductor - thats you high side connection.
Soldet these into your mic, or maybe solder small wires to them, then solder them into your mic. WHichever works best. Use shrink tube or electrical tape to cover the loose conductors so you don't get shorts. Also put some kind of strain relief so that when you pull on the cable you don't damage the mic element.