Welcome to ECF and the WWV (Wonderful World of Vaping)!
Looks like you already got the advice you need, but just thought I would add this to confirm you are not alone......we all went through the learning process. Anyway, due to a bit of tremor problems, I still sometimes get juice down the chimney when filling. I just keep some paper towels at my "filling station". After filling, I remove the drip tip and blow through it into some paper towel. If it shows little or no residue, it is good to go. If not, I twist up the corner of a small piece of the towel, poke and pull it through the drip tip to clean it. Then I will poke that piece of towel down the chimney just enough to see if it comes out with little or no residue. I may need to repeat a couple times with a clean piece of towel, using the other end works nicely, but once it looks fairly clean, I find I am good to go.
The best news is, you've found the best place to get help when a problem arises! Good luck!