First of all, don't stress about it. People always bang on about weddings being stressful. They aren't. Well, not unless you let them be.
As for choosing a photographer, I presume you (and your partner) know what you want out of the coverage. Find someone who offers that, then see if their pricing fits your budget. It really is that straightforward.
We wanted someone who would shoot unobtrusive doco stuff of the day. We found (through Google) someone who had a portfolio of weddings covered in that style, and to a good standard. Then arranged to meet with him to check he wasn't a complete tool. Think we paid the equivalent to about 1400 quid. Don't use price as a judge of quality though, look at the work. I know awful photographers who charge 5 times (and more) that price. Just look for a decent amount of coverage from individual weddings, rather than solely a "best of" highlights package.
Not critical of the photos looking at them now. Partly because they're good, and partly because I'm not judging them like a camera club or something. We hired the photographer to document the day, that's what he did. You will have your own reasons for hiring a photographer.
You're a person, not a photographer. Your job, or in your case, your hobby, shouldn't have any bearing on how you look at your wedding photos.
So, my advice -
1. Stop stressing. Why would you make yourself stressed about getting married? It's supposed to be fun, and there is no reason why it should be stressful.
2. Regarding photography (and videography). If you want someone to shoot your wedding, decide what you want, then find someone who offers that at a price you can afford, easy.

Just the same as a band, DJ, venue, caterer, celebrant, etc., etc.