Doing another website and SEO

Amen to that...

Well for my niche, I picked a search term that had 49,000 [broad] hits a month.
What I was supposed to do was look at my keyword for the [exact] search term and my hits was around to 1,500 a month locally.

I got my website to first page of google.


But that was my first mistake, i didnt look for the exact search term phrases.

Now the new keyword I want to rank for is on the same niche but it has [exact search term] of 8,000 hits a month locally.

I heard that having two website on the same hosting company will look bad for google and its on the same ip.

But this is what I wanted to knwo if it was false.

I just want to register my domain on namecheap and transfer it to hostgator.
So I will not have to do anythign else right? I will not interlink my new website to my other one. Can I get to page 1 if my 2 sites are on the same ip?

I want to stop building links on my existing site to see how long it is before it falls off of page 1