Magento Version Upgrade, Move Magento Site to New Sever, Fix Magento Issues

I have a magento website that I am looking to move to a better hosting environment, update the magento software to the latest version, and fix some basic magento issues I am currently having. The website is: [login to view URL] I am looking for the following: ? Help find / recommend proper magento hosting environment for this site ? Install and configure latest version of magento on new server ? Transition current durable site / database to the latest version of magento on new server - template, products, pages, etc ? Ensure all back-end standard magento features work properly - catalog pricing discounts (dealer pricing), magento connect (for add-ons and updating magento), product export / import ? Ensure site automatic log-out / time-out settings for admins and users function properly Optimize page load speed - Use caching where needed. Category pages currently load very slow, initial page load response time should be less than 3 seconds ideally. An example of a page that currently has a very slow response time is: [login to view URL] Imges used on the site are improperly sized / compressed in places. All images should be optimized to be the proper size where used and the right level of compression to decrease file size. An example where poorly resized images are used is on: [login to view URL] ----- Everything should be set-up on the new server and fully tested before we make it live. I will purchase the hosting server once we find the right place and I will give you log-in credentials for it to start the magento install and site transition. The main point of this project is mainly to clean up many of the issues we are currently having with the site by establishing a properly set-up server and a fresh install of the latest version of magento.