For someone with just a little experience in woodworking, and that experience mainly in larger scale carpentry and boat-building projects, accuracy and precision are a big challenge when attempting a project requiring a higher level of craftsmanship. There is nothing worse than the feelings of disappointment and frustration when you discover that your project is spoiled by big ugly mistakes that overshadow what you are trying to do.
What can you do about it?
You can pay very good attention to avoid little inaccuracies from sneaking in and compounding into bigger problems. I find paying good attention is relaxing, it is a zen-like state of attention and focus, excluding all other thoughts and worries.
There's a temptation to buy more tools that will help with accuracy. But, just like in golf, or music, better equipment is not going to make you a better golfer or musician.
I think that the answer is practice, experiment and patience. Precision is relative, you have to decide what is good enough for your enjoyment of the project.