Welcome to TE and enjoy your riding!

I was a brand new rider about 18months ago, and I nowsometimes tow my 3-year old in a trailer, run my errands by bike whenever I can, ride off-road, and can't imagine not riding. Pretty much all of my riding is on my own. I have to say that I didn't worry about my personal safety as much as I did about someone not seeing the trailer with my girl in it - however that was an almost entirely unfounded fear as a large fluorescent yellow trailer complete with flag pole and streamers is more visible than many cars and people can be surprisingly considerate when they think you are towing a child. I think an awful lot of confidence comes down to sensible riding, your LBS owner who is offering you lessons should be able to help on things like the best road position to enusre visibility and safety.

Go for it, you will be setting a great example to your child.