Enforced change to business name. How will this affect Google results etc.

Shopify Partner
8 0 0

Unfortunately, my business name (Big Igloo) has become connected with far right groups in the US.

For this reason, after six years trading, I think I need to change it.

I've registered a new domain (biglittle.store) and intend to go by Big Little Store instead.

As I understand it, if I link this new domain to Shopify and make it my primary domain, old Google and social media links etc will continue to route to the correct products and pages.

Any ideas of how to minimise the effect of this change in terms of SEO etc would be massively welcome at a somewhat stressful time in the business!