Shafs:
You are DEFINITELY not alone in your dislike of the bumps. That said, the more you fly with them, the more you'll see that the plane can handle them. Also, if you're in any doubt about overstressing the airframe in the bumps, just slow down a little. It's quite amazing how slowing down will soften the bumps.
Something that helped me and I know you'll hate me for saying it, I found that when I started to get the willies about the bumps, I would force myself to stay out a bit longer. What I found happened with me was that my tenseness would eventually wear me down physically to the point where I couldn't fight the bumps any more and .... Nothing happened! The plane didn't fall out of the sky and the wings didn't tear off. When I got back on the ground I was pretty buggered, but elated that I survived it and the next time I went up, I felt less intimidated. Usually after a session like that, I made a point to go back up again as soon as I could and I found my "bump tolerance" increasing.
In any case, as I said, you are not alone in your dislike of the bumps. Most people go through that, but when you lose most of the fear of the bumps, you, like the rest of us will still dislike flying in them and take whatever steps you can to avoid them where possible.
As for flying away from the nest, I think that's probably also related to your fear of the turbulence. Again you'll have to force the issue with yourself a bit.
On a final note here's something else that helped me. If you don't yet have a passenger endorsement, get it. That way you can take friends and family up for a fly. This does two things
1) with the extra weight in the plane, the bumps don't feel nearly as bad.
2) with someone else in the plane and you in command, it leads you to show them confidence (even if you're not feeling it) and by acting in a confident manner and successfully flying the airplane and delivering your passenger safely back to the airfield, it is amazing how that will boost your confidence in yourself. You might not feel very confident while you're up there, but when you've put the plane away and you're on your way home, you'll probably do a little mental fist-pump and say to yourself "I did that!". Allow yourself that little "win" and pat yourself on the back for your success.