I'll add some thoughts since my icon issues began with bedwetting as well.
First off, there's absolutely no need to ruin and buy mattresses. A combination of a high quality diaper and mattress protector make this problem disappear. I'm a side sleeper, back sleeper, stomach sleeper and I wet every single night and maybe my diaper leaks a handful of times per year. It takes time, patience and lots of trial and error to find a diaper that works for you. I'm assuming you're not wearing one....if so, you should reconsider. It's a difficult thing to accept and start doing, but once you start wearing them and see how you get much better/uninterupted sleep you'll wish you started years ago.
The doctor thing is a MUST. Adult onset bedwetting is almost always due to an underlying medical issue....that could be as simple as overactive bladder (in my case this is what it is), to diabetes, or worse. You NEED to get it checked out.
It's embarrassing but you need to remember doctors are professionals who see this stuff every day. I'd just make the appointment and when he/she asks what brings you in just say, "i'm having problems with nocturnal enuresis"....boom, done. His ball now, let him run with it...just be honest in answering questions. I found it easier personally to use the medical term when I first saw a doctor about this. It just felt less embarrassing to me to use a medical term (nocturnal enuresis) rather than say "I'm wetting the bed".
For products I'd strongly recommend getting samples of Better Dry (my favorite), Northshore MegaMax, Northshore Supreme, and if ABDL prints don't bother you, look into Rearz. They do have a plain white called Inspire + InControl....but their Barnyard diaper is even more absorbent if you can get past ridiculous baby prints....