Expected yield from a trust

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and a weekly payout

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I have to ask why? It isn't a construction job with a weekly paycheck. It would seem to me that if you raise the number of disbursements you raise any fees associated with managing the trust. What's wrong with a monthly or quarterly disbursement?

Both monthly or quarterly are fine

Basically just to supplement children's income until retirement age

Anything else you'd like to know to help narrow it down?

Is there a better way to invest the money?

A trust is simply a way to control money.

Investing it for yield is no different than any other type of account. The more aggressive you are, the higher the potential yield, or negative yield.

Your yield will be reduced by not only management fees (like any other investment) but also fiduciary fees. You also have tax prep fees to consider (a bank trustee will often wrap these fees inside the trustee fee).

With a simple trust, you are required to distribute all income. Complex trust, you don't have to.

A trust like you are talking is a complicated issue and you need to speak with a qualified attorney and a CPA.