The wordpress blogs look more professional but Google loves blogger blogs because its their own system.
I test both strategy and found that my blogger blog was indexed faster than the wordpress blog. Google also gave my blogger blog higher rankings than wordpress.
Regarding incoming links I would suggest that you use anchor text. For example if you main website that you are linking to is about "simple dog training" then post your article and include an anchor text instead of direct http link.
Here is how anchor text link looks like
Simple Dog Training
If this is a new blog then Google will count this incoming link.
ps - please post new articles every week to your new blog to get indexed faster.