Hi Dbjensen,

I don't think you would need to make any changes as salesforce will auto enforce changes with your domain name. Enhanced domains don’t change your My Domain login URL in production unless you also change your My Domain name or suffix.

Would suggest you to enable enhancend domains in your sandbox and do good testing to make sure everything is working as expected in your sandbox org.

What’s the impact of enhanced domains?
Enhanced domains apply your org’s company-specific My Domain name to all URLs that Salesforce hosts for your org. This feature also changes domain suffixes (the part after the My Domain name) to meet the latest security standards. With no instance names, enhanced My Domain URLs are easier for users to remember and don’t change when an org is moved to another Salesforce instance.
If you don’t test and deploy enhanced domains before Salesforce deploys it for you, here are some issues that can arise.
Users can experience errors when attempting to access Salesforce, including but not limited to Experience Cloud sites, Salesforce Sites, and Visualforce pages.
Some embedded content stored in Salesforce no longer appears.
Third-party applications can lose access to your data.
Single sign-on integrations with sandboxes can fail.
Single sign-on integrations with orgs using the *.cloudforce.com and *.database.com domain suffixes can fail.
To avoid these issues, we recommend that you test enhanced domains in a sandbox and enable enhanced domains in production before the release update is enforced.

References:
https://help.salesforce.com/s/articleView?id=release-notes.rn_security_domains_enhanced_ru.htm&type=5&release=240
https://help.salesforce.com/s/articleView?id=000393816&type=1
https://help.salesforce.com/s/articleView?id=sf.domain_name_url_format_changes_enable_enhanced.htm&type=5

Please mark as Best Answer if above information was helpful.

Thanks,