A Stoic answers

What do the Stoics say about money and wealth?

The Stoics did not preach poverty, and several of them, Seneca above all, were rich. Their point is subtler: money is a preferred indifferent. It is better to have than not, and you may pursue it honestly, but it cannot make you good or happy, and a life that depends on it is a life held hostage. The test is simple: could you lose it tomorrow and still be at peace? If yes, you own your money. If no, your money owns you.

The principleExternal things are 'indifferents': they are not good or bad in themselves, only how you use them is. Wealth is to be used well and held lightly, never needed.

What the philosophers say

Seneca

Seneca, one of the wealthiest men in Rome, argued that the wise person does not love wealth but accepts it; keeps it in the house, not in the heart; and is ready to see it go. The point is not to have nothing, but to need nothing.

Epictetus

Epictetus, who had been a slave, would have you check what you have handed your peace of mind to. If your contentment lives in your bank balance, you have given control of yourself to fortune. Keep it in what is actually yours.

Marcus Aurelius

Marcus, an emperor with everything, reminded himself that luxury and possessions are not what make a life good; character is. Use what comes, do not crave what does not, and waste no envy on the rich.

Try this

Ask the ownership test: if I lost this tomorrow, would I still be at peace? Work toward yes.
Pursue money honestly, but never make it the thing your contentment depends on.
Practise voluntary discomfort occasionally, so that having less holds no terror.
Use wealth well, on people and purpose, rather than hoarding it for its own sake.

Questions

Were the Stoics against money?

No. They called wealth a 'preferred indifferent': fine to have and to pursue honestly, but never the source of a good life and never something to be ruled by.

How can I have a healthy relationship with money, Stoically?

Hold it lightly. Keep your peace of mind in your own judgement and character, not your balance, so that you could lose money and still be at peace.

Ask them yourself

Put your own situation to Marcus, Seneca or Epictetus and hear them answer in their own words.

Talk to a Stoic