how to redirect to another site but still have same url
You should be able to do that relatively easily with full HTML mode using an &lt;iframe src='desiredurl'&gt;&lt;/iframe&gt;. You will most likely want to do some custom styling/template editing to make it look good.

Whether that is a good soluton for you depends a bit on how you want it to look etc. Do note taht security restrictions can break it - and make custom scripting/styling problematic as well inside the iframe. I'd suggest reading the Mozilla Dev Network's iframe page.