I took some photos recently of my daughter in my garage. My garage is horribly messy, but I made the best of it, by trying to keep the background darker than the subject (my daughter). Still couldn't get it (the background) to where I wanted. I didn't post edit it either, which might have helped, but I doubt it. I didn't want the picture to look like the background was nothingness, a black space. But, it taught me a lesson, which is to really think of my background, and will it distract from the subject. In my case, some here commented that it did distract from the overall picture. I agreed. Lessons learned!
Like you, I've never used photoshop...I didn't know that all those cool effects could be created with it. Buck did a great job, above!

When I think of PS, I think of something fun to do with photos. I think it gets a bad rap, because it's often used to trick people. I've been on exercise message boards, and people have been 'accused' of photoshopping someone else's body using their face, when showing progress pics. lol. That's just one example of the connotation it has...
I will say though...in your case...I honestly don't think the fence is half bad. lol
[edit to add; i agree with cgipson on trying to get the shot right to begin with as opposed to trying to edit over the mistakes, after the fact...which takes time to learn, when you're new. but, i'm learning. Photography takes a lot of patience, and you might not always get that 'right' shot the first time out. Maybe the next day, you will. But, we want it NOW. lol It's human nature. To get better at anything, takes time. No way around it. So, if we keep at it, the mistakes will be fewer, and the need to edit out this or that, will be less.] Sorry for my ramblings, just my thoughts on it!