Transfer email subscribers from one blog to another

I am starting a new site, but have moved over some content from my old site. Basic info:

Old site: https://crafting-crazy.com/
New site: https://www.nataliechiles.com/

My question is this: I have just over 100 subscribers on the old site that I’d like to move over to the new site without having to email them all. I plan to “point” the old site to the new site once it’s ready. Is it possible to do this easily?

I’ve Googled my heart out and cannot find anything on this anywhere. I have a new feed set up for the new site via Google Feedburner, and the old site’s feed seems to be just fine. I am not a tech-y person, so this is very different for me to attempt.

My new site is currently in “maintenance mode” but I can take that down if it’s helpful.

Thanks for any help you can offer!