There are lubricants specially designed for electric razors, if you’re still determined to go that route. Lectric Shave is the most popular. It’s the equivalent of shaving cream for electrics.
Also, make sure your shaver is clean and sharp - if you’ve had it more than six months, it might need new blades. If you’ve had it more than a year, it definitely needs new blades. Ideally, it should be cleaned after every shave, and sprayed with a spray lubricant (not the same as the shaving lubricant) with every use as well. A dirty shaver means more dust to dull blades and more bacterial growth to infect tiny cuts in your skin.
Now that you have ingrown hairs, use a washcloth to gently exfoliate - rub in circles with a light touch. You’re trying to remove the top layer of dead skin cells to release the hair from its bondage. Don’t scrub at it, you’ll only invite infection.
To help prevent ingrown hairs next time, use a post-shave product containing salicylic acid (like this one). You can probably find one at the drugstore. You can definitely find one in sex toy shops.
Yes, waxing hurts. No two ways about it. It hurts less each time, and it hurts less if done by a professional. It can be done at home, especially if your girlfriend is willing to lend a home, and it’s not that expensive at home, but if neither of you have done it before, you don’t want to practice on your manbits - practice on your chest until you feel comfortable with it. If you decide to go to a professional, look for someone advertising “Brazilian wax” - code word for naughty bits. A Brazilian proper removes all buttock, anal, testicle, penis and leg-crease hair, but leaves a triangle of hair above the penis. But basically, no matter what shape you want it in, if the sign says they do Brazilian, they’re fine with handling your nuts. A “bikini wax” means only the hair in the leg crease will be removed. Although, in some areas, a “full bikini” means a Brazilian.
Sugaring is basically the same thing as waxing, only it uses a sugar based goo instead of melted wax. Some process - smear on goo, place a strip of fabric over it and rip off fabric, goo and attached hair. Nads is a common home-sugaring product. The one benefit sugaring has over waxing is that it doesn’t need to be warmed, so burning is not a concern.
Electrolysis is your most expensive and most permanent solution. You go to a trained, licensed professional and they take a needle (so thin it doesn’t really feel like a needle) that’s inserted into each hair shaft. Electricity is then passed through the needle, burning the hair follicle at the root. The hair then dies and falls out. Only hair in the active growing phase of its life cycle is suitable for removal, so you have to go back for several visits as the other hairs in the area come out of dormancy and begin to grow.
Lasering is electrolysis’s new big cousin. Instead of a needle, a laser light is focused on a few hair follicles at a time, and zaps a few hairs. The feeling of this is often described as feeling like a rubber band snapping against your skin. Just like electrolysis, you’d need to go back for several visits, and it’s pretty pricey. And like electrolysis, it’s also more-or-less permanent, so if you think you’d ever change your mind and become a bear, it’s not a good choice. (Personally, I think hairy men are becoming fashionable again, and all the lazered and electrolycised beauties are going to be covering up their gleaming bare hides.)
Aren’t you glad you live in these metrosexual times? Used to be, only women had to weigh these painful and expensive options for beauty. I always told my mom we wouldn’t really have equality until men were waxing their balls! 
Unfortunately not.
