One offer has more cash, the other more equity. How do I

Value the equity at zero and see whether the decision changes. If the lower-cash offer still wins on work and people, the equity is upside. If it only wins with the equity counted at face value, you are being paid in a lottery ticket priced by the seller.

Whatever the contract says, plus a written handover that outlives you: runbooks, access list, the three things that break at 3am. Extending the notice period rarely helps; writing things down always does.

Offer a substitute rather than a refusal: a take-home you have already done, a walkthrough of public work, or pair debugging on their codebase. Companies that decline all three have told you something useful about how they work.

Doing it once and never verifying. The setup is the visible part, so it gets attention, and the check that would catch a silent failure never gets written.