Go down to Walgreens and get yourself a bottle of Nivea Aftershave Balm.
Wash your face before bed. Rub that into your skin after your normal shave in the AM, or every morning, or whatever for a few weeks. I bet dollars to donuts once your skin is conditioned you can shave with a regular razor.
You get bumps, burns, and ingrown from shaving too closely with hair that doesn't grow out straight, or being overly aggressive. Condition your skin to be softer, the hair will grow out without irritation and it wont curl back into itself causing bumps. When you're ready for the razor, use the beard trimmer to lower the hair, then a single or dual blade razor once over for awhile.
People don't realize when you're shaving, you're actually taking off a very very thin layer of skin with it, so if you jump right in and rake 5 or 6 blades over 5 o'clock shadow, yeah, that shit is going to hurt.
So long story short, condition your skin, and take baby steps with the razor, and your skin will get used to being shaved and you too can have a baby-butt smooth face.
Or I say fuck it, go all out and grow a beard.