This is all largely down to personal preference. If you look in the scar care threads, you'll see everyone has different opinions on it.
I showered facing away from the water for basically a month, and didn't really scrub the chest area for the same amount of time. Just gently went over everything with a loofah and regular body wash. Dry off gently as well. What I put on them depended on what stage I felt they were at. If they were still obviously healing, I put Neosporin on and let it air dry before I got dressed. Later when they looked less "fresh", I'd use coconut oil.
I use coconut oil on my incisions currently. I stopped covering them with any kind of tape/bandage as soon as the original one came off. I've tried the scar strips and didn't feel like they were doing much for me. I also realized that I don't really care how they look. I'll probably finish off the box of strips that my mom bought, but I don't anticipate trying out anything else.
