DIYs Thesis theme is the best WP theme for SEO I've found. Whenever possible, I do all my WP sites using this theme. In fact I sometimes avoid doing certain sites if they require other themes as time/benefits tend not to work out as good as just using Thesis.

Its a premium theme though so you'll have to pay.

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There are tons, but thesis is the best seo theme so far. Perfectly optimized for any kind of sites. If you still want a more simple theme then twenty twenty wont be a bad choice. Ther are many free wp theme download sites which provides free themes, Stuffed with junk links and sneaky redirects, So check it before downloading.

If you want to check out a specific theme, just install it on your site (or in a testing environment). That will quickly tell you how SEO friendly it is, and what SEO customisation options it offers.

I recommend you "thesis" theme. Try to use this.

Unless the theme is doing something ridiculous it's probably fine. Most of the basic on-site SEO stuff is covered by all the themes I've seen, and there are lots of free plugins to help out with it.

All most all the wordpress themes are SEO friendly. You can find themes in wordpress itself. Go to the install theme option and search for themes. If you don't find any interesting themes, just google for free wordpress themes.

I think wpthemes.name is a good source for seo themes....

One with Wordpress SEO plugin. I love how everybody is advertising some services here.

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