1. Create it as a Bank account. Go to Settings > Chart of Accounts > New, choose Bank as the account type and Cash on hand as the detail type, and name it Petty Cash.
2. Fund it with a transfer, not an expense. Move money from checking into Petty Cash using + New > Transfer. That keeps it recorded as cash moving between your own accounts, not as something the business spent.
3. Record what comes out of it as regular expenses. Each purchase made from petty cash is an Expense, with Petty Cash selected as the payment account, the same way you'd record a purchase made from a checking account.
4. Reconcile it the same way you'd reconcile a bank account. Periodically count the actual cash on hand and compare it to the QuickBooks balance. There's no monthly statement to check against, but the Reconcile tool still works the same way, using your own physical count as the source of truth instead.
5. Replenish it when it runs low. Transfer more from checking the same way you funded it the first time, which keeps the balance from quietly drifting below what it's actually supposed to cover.