Local commuting is covered under "transportation", while travel that requires you to make an overnight stay is covered under "travel" in publication 463.
https://www.irs.gov/forms-pubs/about-publication-463
These expenses are not deductible on your federal tax return through 2025 due to the 2017 tax reform. You can still list expenses in Turbotax because some states still allow the deduction under the old rules. You may be able to include car expenses, food and lodging.
Also note that your employer can reimburse you tax-free under an accountable plan. You may want to discuss this with them. The IRS does not require them to reimburse you, but the payments are tax-free if the employer follows the required procedures.
Your state employment laws may have something to say on the subject, especially if the travel is required as a condition of employment. Depending on the job and your wages, if your unreimbursed expenses lower your net income to below minimum wage, this may be illegal in your state.
