Is the museum a tax-exempt organization that is eligible to receive tax-deductible charitable contributions ? They should be able to tell you or you can use this IRS tool and search for the organization - https://apps.irs.gov/app/eos/
IRS website for Tax Exempt Organization Search - https://www.irs.gov/charities-non-profits/tax-exempt-organization-search
IRS website for Tax Exempt Organization Search FAQ's - https://www.irs.gov/charities-non-profits/tax-exempt-organization-search-frequently-asked-questions
If you plan to deduct the contribution on your tax return as an itemized charitable contribution on Schedule A, then you will need to complete IRS Form 8283 Noncash Charitable Contributions Section B for Donated Property Over $5,000.
IRS Form 8283 - https://www.irs.gov/pub/irs-pdf/f8283.pdf
IRS Form 8283 instructions - https://www.irs.gov/pub/irs-pdf/i8283.pdf
Also see IRS Publication 526 Charitable Contributions - https://www.irs.gov/pub/irs-pdf/p526.pdf
The museum will give you a Form 1098-C for the donated item which you would attach to your tax return.
IRS Form 1098-C - https://www.irs.gov/pub/irs-pdf/f1098c.pdf
Using TurboTax, see this TurboTax support FAQ for charitable donations - https://ttlc.intuit.com/community/credits-and-deductions/help/how-do-i-enter-my-charitable-donations...
If you do not plan to use this donation as a deduction on your tax return but are gifting it to the museum then you do not report the donation on a tax return.