What is your BG like in the evening? I find I feel exhausted if my BG is high.
What basal insulin do you take and when do you take it? If you take it before you go to bed, you may find it is "running" out as some people find their basal may ink last 22 hours.
Alternatively, your tiredness may be just part of the stress of your recent diagnosis. It takes some time to adjust to taking reading, counting carb, not panicking about hypos, ... all whilst looking after 3 boys and trying to live your life. All I can say to that is to be kind to yourself: things get better as they become familiar.
My first stop would be to take more BG readings to understand whether their is any correlation between your tiredness and your BG. If you have he chance to try a Libre (even as a one off) it may help give an insight.