First thing first, I needed a domain name that I purchased at 1and1 (synaptic.fr), but unfortunately, Wordpress does not allow .fr domains to be mapped to its hosted blogs (WTF !). Anyway, I then purchased a .net one (synapteek.net). But then, Wordpress asked me fees to map it to my blog (WTF bis !).
I then decided to open a blogger account, export my Wordpress blog entirely (theme excepted) and import it into Blogger in a blink.
I then had to map my synapteek.fr domain name to my Blogger blog following carefully instructions provided for 1and1 registered domain. This implied the creation of a www.synapteek.fr sub-domain with specific DNS configuration as well as another one for security reason.
I then configured synapteek.net to redirect synapteek.fr and I get a blog mapped on my own domain name. Yes !
A last think nevertheless, I need also to have an auto post feature from my new blog on Blogger to my LinkedIn account. I tried Hootsuite to do so, but didn't find a way to configure it properly (I am even not sure it is possible, maybe Hootsuite is just not designed for this purpose). I then found IFTTT services and loved it. Simple, straightforward and powerful. Exactly the kind of service I was searching for, with an additional feature. I added also an auto post from my Blogger blog to my Wordpress one, which allow me to keep it for a while.
So I now have a Blogger blog as a master with automatic posting on LinkedIn and Wordpress as slaves.
Next step is to refresh my Blogger theme to get something more appealing, but the inastructure is there.