Just a bit of warning: Be very careful here.
I run a moderately successful site, and I used to get 10-15 emails a week offering to do a “free” analysis of my website. They would help me fix my SEO, reach top of Google, make sure I worked on mobile devices! Just call them on Skype!
The thing was, these weren’t automated spam messages. They were sent using my contact form. Someone was sitting there, filling out spammy forms on hundreds of websites. The problem went away when I installed Jetpack, used their contact form which combines with Akismet.
They go straight to my spam folder.
A few things about these spammy emails:
They were all very generic. It was sure they hadn’t really looked at my website. Like many warned me my site was not optimised for mobile, when I know for a fact it is. They were just copy pasting the same lines to everyone.
They offered miracles. Top of Google! SEO! Magic! Now, I know for a fact that many non-tech types are very impressed by this. Just look at the number of job postings on Elance/whatever it’s called now saying I want you to make my site Number 1 on Google or something similar. But to me, it sounded fake.
They had no idea who I was, or what I did, or if I even was looking for a site redesign.
You can avoid these problems easily by being genuine, but keep in mind: The pool has been peed in, so you will be viewed with suspicion. Just act as honest as possible; better to send 1 really targeted email a day, than 10 generic ones.