Pop me over a PM with more details and I can offer you some advice

In terms of being alot more helpful:

Yes you can have a fresh website made which is well optimised for search engines. You can then link to your shop from this. If the person doing the website is clever enough, the whole thing will be seamless

You may wish to think about integrating everything into one website though. This will further help with optimisation in terms of people will be able to search directly for your products rather than searching for your website through google and it will appear completely seamless.

You also need to think about accessibility. Also get together a list of websites which you like, not only because of their looks but how they work and the overall functionality.

What shop do you use at the moment? Give me a PM and I can discuss further with you otherwise you'll get told off for trading etc!

Cheers
Tim