you can pay online. for type select balance due so you can apply it to 2024. you should be able to print a confirmation for your records. also avoids possibility of check getting lost in the mail.
in Turbotax in the tax payment section there is provision to enter additional payments with date.
this will show up on line 26 of the 1040.
hopefully (can never be sure of IRS computers) to avoid bills from the IRS for late payment and interest penalty make sure the payment is large enough to cover these. the IRS will compute penalties and interest and subtract those from any overpayment
to keep the iRS up to date on your address, you can use the new address when you file or file form 8822
https://www.irs.gov/pub/irs-pdf/f8822.pdf
