Hi, V..
As I understand it, the ear is a 'self-cleaning' thing. But I have one child who makes enough earwax for the whole family. Even as an infant, the pediatrician would take her specially made ear cleaning tool and scoop out loads of the stuff. I was content with this and either waited for her to do it (since I knew she would do so safely) or I'd keep an eye on it and scoop out the chunks that worked their way up to the outer ear. Then I would tidy up the outer ear with a Q-tip. I never put things down in his ear because, with that much wax floating around, the risk of pushing it deep into the canal was very real. We continue this approach to this day. He still has lots of earwax, but it has never caused a problem.
I also saw a product at the pharmacy that might help: a liquid ear cleaner called something like Audi-clear. I would talk to your pharmacist about whether or not such a thing is suitable for little guys -- and if you have any concerns, bring it up during your next trip to the pediatrician.
Good luck!