Hi, welcome to the forums.
First up, read the first couple of posts in the cholesterol primer in my sig. You might need to find a website to convert to US values for the ratios, but other than that, the primer has the info you need.
First, some analysis of your results:
Your trigs going down is great.
You HDL going up is great.
Your LDL going up is less great.
Your Chol/HDL ratio is in the normal range.
So is your LDL/HDL ratio.
And your Trig/HDL ratio.
Conclusion: you have nothing to worry about. This is not a disturbing outlier that you need to pull back into line. If your test in 6 months time gives the same results, I'll still say there's no problem.
Your doctor is scaremongering you into taking a statin, but statins increase all cause mortality. Not sure that's really what you want to be doing. Assuming (from your username) that you're a woman, you should know that Total cholesterol is INVERSELY related with all cause mortality in women. i.e. The lower it is, the more likely you are to die.
Anyway, if you're still worried, some natural ways you can bring your LDL down are:
1. Decrease LDL coming into your system: Reduce consumption of animal/dairy fats (this will decrease your HDL too and won't likely make you any healthier, but the numbers will be lower. I personally don't do this. But it will lower your cholesterol.)
2. Increase LDL leaving your system: Take care of your thyroid, via supplements like Iodine, Selenium, Magnesium and Glucose (if you zero carb, ease off a little and eat some). Improved thyroid function upregulates LDL receptors, which means that relatively more LDL leaves circulation, particularly oxidised LDL (which is the actual 'bad' cholesterol).