Blog on domain only, or fed from blogger site?

[Sandy]

Okay so here's my situation:

Currently I publish my blog posts on google blogger (or blogspot), and then it auto-feeds to my website where it also catalogs (mywebsite.com/blogs/blogname).

My question is primarily about SEO, but I'm ready to learn about anything actually relevant to the topic.

1. Does it make a difference in website SEO that my content is being fed from a blogspot URL (blog.mywebsite.com)? Would I get more or less SEO benefits if I moved/transferred all my blog content to my domain and ended my use of blogger?

2. If I have my blog posts visible on both the blogger URL and my domain URL (from the feed), which will trump in search results? For example, if someone searches for "yellow labs run faster" and I have a blog post that matches, which will come up as a search results for the searcher, the blogger URL or my domain URL? Obviously I want people to come to my actual website/domain URL. I would love it if I could get the blogger to be invisible, so that the content could only be found on my website that it's fed to... but I doubt there is a way to do that.

Thank you in advance for answering this! :-)
Okay so I already ditched the blogspot tail and redirected/renamed the URL to blog.mywebsite.com so my website is getting the credit for the blog posts.

Now my question is about the difference between blog.mywebsite.com and mywebsite.com/blogs/blogname?

Thank you.