Cleaning rifles are an intimidating task, but with time, you are sure to get the hang of it. Our first suggestion would be to invest in high-quality cleaning products.
This includes cleaning rods, brushes, and patches. Proper cleaning tools will ensure that the barrel does not get ruined in the process.
The basic process is to wet a patch (ensure that the patch is cotton only as synthetic patches may not even clean the barrel properly) with solvent and pass it through the bore. Do not mix two or more solvents as you would not want to risk unfavorable chemical reactions taking place inside the pore.
Once you have passed several wet patches and are satisfied with the result, pass a dry patch to remove the solvent. Cleaning is a very important process as it can help boost shooting accuracy too.