I'm so sorry for your loss.
I tried to think of a few things that you may need support with that you could ask people to help you with:
A food shop - ask them to stock up on tea, coffee, milk, longlife milk so you don't need to go out if you're caught short, bread, biscuits etc. as you might have a lot of visitors stopping by and may want something to offer them. You'll need toilet paper and tissues too.
Laundry / changing the beds - could you ask people to take things to the laundrette for you so that you don't need to worry about the practicalities of clean clothes etc
Cleaning / housework - If there's anyone who you wouldn't feel bad asking this, you could ask them to kindly help you with housework, if you feel comfortable enough. Or to hire a cleaner for you.
School pick ups/drop offs and lifts to clubs etc. - if anyone could take the kids to school for a week or so, that might give you some breathing space to sort anything out that you'd need to
Do you need someone to ring around people / answer your phone / open your post / fill out forms or maybe even deal with other small practicalities?
Help with the flowers - people may send flowers and you might not have the time/energy to deal with them
Do you need someone to come with you to sign the death certificate? Or at least be driven there? Or to sit with the kids when you go.
My thoughts are with you at this sad time.