If I had to give up one word that I use regularly, it would be ‘should’.

‘Should’ is a word full of judgment. Someone else is judging us or we are judging ourselves against some unspoken standards that we are not ourselves claiming. “I should do my homework.” The word ‘should’ always sounds like “I’d really like to do something else, but X says I should do my homework.”
Admittedly, there are things we need to do. But ‘need to’, although it’s two words, is a perfectly good phrase to use here. “I need to do my homework” implies an internal locus of control rather than the external ‘should’. The speaker has a need which they can fulfill. It’s also a positive statement: “I take care of my needs.”
I would feel a lot stronger if I didn’t use ‘should’.