Modals to express suggestions: SHOULD, COULD, MIGHT, SHALL

Should, could, might and shall are used to express suggestions:

Shouldn't we have a pizza instead?
You could talk to your parents and ask them.
You might consider taking up meditation.
Shall we throw a party sometime next week?

Might is often used with want or like to add politeness:

I thought you might want/like to read this.

May/might as well is often used in everyday conversation to suggest something when you can't think of anything better to do:

We may as well call it off.
You might just as well order it on the internet.