Changing from one domain to a sub-domain of another domain

Hi all,
I currently have a company blog hosted on a domain (example https://www.abc123.com) and need to move it to the company’s core site but as a sub-domain (example https://www.blog.company.com). Currently the blog and company site site on 2 different hosting platforms and need to remain this way for ease of the marketing team to use wordpress.

How would I go about getting the wordpress blog moved over to the blog.company.com URL while keeping it on the same hosting service? What effects would this have on SEO and how could I help mitigate negative impact?