Please believe me when I say you are not alone, there are a lot of us in the same situation. I can truly empathise with how you are feeling as I am in a similar situation, however in my case my wife is an alcoholic and has been for a number of years.
If you think he has a problem with drinking then you are probably right. A partner hiding alcohol is one of the biggest signs of a deep problem with drink. I have been there, found the bottles and confronted my wife over them.
You may feel a bit better for raising your concerns and it may have some benefit as you will love your partner and will want to help them, however as I have found out once someone is addicted then unless they want to change and they seek out professional help there is not much you can do for them. If you do speak to him remember to focus on his behaviour and not yours. Alcoholics are very good at reversing and putting the focus back on you. The main thing to note is they and they alone choose to drink, you are not responsible for their actions.
The only thing you can do is focus on yourself and your children. It’s is really hard to do i know as a lot of your focus will be on your partners drinking and I know from bitter experience it ends up not only becoming your obsession but you start to feel resentment towards them as well. Please try to not focus or count their drinks or work out how much they are drinking, and also please don’t ask your kids to do the same. Kids will feel conflicted spying on their parents.
Your priority needs to be your own mental and physical health and that of your children. If you haven’t done so already then talking to a friend, relative or via a support group does help as living in silence is really difficult. Also try doing something like exercise or hobby that you like doing for yourself and with your children as we often forget about ourselves and kids in this process.
I have kids also and make sure I spend time with them each day either playing games or taking them out somewhere. and I also have started exercising as I have found it helps and built my own self esteem.
I hope the above has helped somewhat and truly wish you well for the future.