Looking for a new Web Hosting service

We are looking for a new web hosting service for our websites.
We have two websites on separate domains.
The first site is an e-commerce website where we use Authorize.net for transactions. We already have a SSL also on our current website that we'd switch over to this new website. If possible we'd like one that offers assistance with switching a current live website to the new host. Also, in this bad economy we want one that is financially stable and has good support. It would have to be one that runs on Linux using Apache with the current versions of MySQL and PHP.
The second website is a basic Wordpress blog so the e-commerce features are not as important. For SEO we prefer to have them on separate hosting services but since it's a blog and not an e-commerce website we won't need the type of hosting service that we need for the first site.
Does anyone have any suggestions? The only one I'm really familiar with is Go Daddy.

I would use a managed server host for e-commerce. I use CyberLNC for mine. As far as transferring, I can do that for you.

For the blog since bandwidth is not as critical, Bluehost would be a good choice for shared servers.

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For SEO we prefer to have them on separate hosting services

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Because of having different IP addresses, I guess ?

Before splitting your hosting, how about getting your hands on to a full-featured server of your own managing multiple IP addresses ? On the long run, this could not just save you time but also money.

so many hosting sites available but what is trusted hosting site?

Trusted webhosting ? This sounds like an ad slogan, not like a real feature. No hosting company can sell "trust", say have to earn it with time :-)