Hi,
I have read your exact requirement in which you have mentioned that you want your existing site should be more speedup.
I have seen the redirects report from gtmetrix.
Relevant Skills and Experience
I have +6 years experience in Magento:
Following steps I will do:Remove redirects link,caching,leverage browser caching,optimize images,cssjs,add expires headers,database optimization,compression,etc
Proposed Milestones
$100 USD - speed up
I will optimize the site so the performance will be great on Insight Google Page speed and gtmetrix.