Being cheap is not the issue, but "looking cheap" could be

You are probably right that, people will be concerned about the reliability of cheap hosts. And your site, peobably doesnt help to take away that feeling. I would suggest a redesign of your site with:
1. Professional layout and fonts. There is too much empty space on your site, also the font are too big and sometimes doesnt have a style at all. Overall it looks ameatuer.
2. Well writeen content.
3. A support link at home page, with online/offline text.
4. Testimonials, with real links to sites hosted on your server.
5. May be, you can get rid of that free hosting on homepage. Free hosting is never supposed to be reliable.
6. More technical details, uptime guarantee, money back guarantee and other things that would make the customer feel that you are serious.
Also you dont have to mention that your company was started just two months back.
I guess it may not be a bad idea to get a template monster template. It may not be highly original, but will look a lot more professional.
On the other side, if you can convert around 2%-4% of visitors, you may consider it as a good rate.
HTH