Existing company name changing considerations (but not store URL)

Not sure if this is the best community category to ask but here is my question.

We have had an online website for over 15 years at www.sealifecabinetknobs.com

Due to trademark distinctiveness considerations we are going to a more unique company name that is pretty similar and shouldn’t cause our past customers too much confusion.

We will not be changing our domain URL.

I’ve already done the research on the Shopify payments, bank account requirements.

My concern is what impact might this have on our SEO/ranking?

We already have the top SERP for “sea life cabinet knobs” but our target category is actually “coastal cabinet knobs and pulls” and/or “beach themed knobs and pulls”.

Should I go back and update old content (blog articles, etc) that reference the old name?

Any further considerations for SEO (or other site related matters) I should be mindful of?