The risks of not getting vaccinated (death, hospitalization, long-COVID) are VERY low for children 17 and under, and EXTREMELY low for children 11 and under. Like, around the same level of seasonal influenza.
Reports will vary by source, but 412 deaths in the 0-17 yo age group per this source since the pandemic began:
Between the beginning of January 2020 and June 14, 2023, of the 1,134,641 deaths caused by COVID-19 in the United States, around 307,169 had occurred among those aged 85 years and older.
www.statista.com
To put that in context, we see as many deaths per year from things like seasonal influenza. By comparison, we've seen 20-30X more deaths from COVID in adults compared to seasonal influenza. So the older you get, the harder it hits.
I recommend females 12 and up get both shots. There are VERY few side effects in that group. With males, I'm iffy on that 2nd shot (that's almost all the myocarditis out there), as I've previously pointed out in this thread. I believe we need more data on how strongly kids develop antibodies after the first shot (I'm betting it is worlds better than adults - making that second shot less necessary).
Anyone with immunocompromise or comorbidities (obesity, diabetes, etc.) should get both shots if they fall within the EUA guidelines. Per my colleagues, these are the bulk of patients in the pediatric ICU right now - those with some comorbidity that puts them at elevated risk.
I have children in the 7-11 range, so this question hits close to home.