Set Up My Email To Sync, Google Aps or Other Method

Hi This is a basic project. I need a solution (free or cheap) to sync all my email to access it anywhere.. Maybe google aps imap or something.....I dont know enough about it but basically I want to mirror whats happening in outlook 2003 at home to another online interface that is fast and user friendly I am happy to use gmail, i have downloaded a nicer skin so happy to keep that unless there is another option? I heard apps is good too.... The budget is $35 usd I will need you to make chnages where possible to online accounts and to give me easy direct instruction for outlook 2003. I want you to set it all up. I am open to any solutiion also Exchange if free. It needs to be easy for me..... So I have a number of domains Main one @mycompany Another I use a bit @myisp Another @gmail I dont use but could use for interface I may also have more @mycompany emails but happy to forward those.... Please bid and advise your method/solution... Please note I also need you to implement it where possible Thanks Manny