Help Me!

I know that some very wise, courteous, helpful and extremely good-looking folks read this blog. Armed with this knowledge, I am sending out a plea for help. I am trying to transfer my domain name to a new server. I really have no idea how to go about doing this...

Can anyone help me? What I want is the ability to design my pages, room for lots of photos of merchandise, storefront capability, shopping cart and whatever else I truly need. I don't want lots of fancy stuff because I'm still just starting out.

So, anyone willing to give me some advice? Point me in the right direction? Thanks in advance...