jQuery UI or jQuery Mobile?

jQuery UI or jQuery Mobile?

We're currently looking are developing the next iteration of our website.

At the moment we only use jquery moderately along with jQuery UI. In terms of the UI, we use easing effects, the slider bar (with a plug-in for touch devices) and accordion.

The next version of the site will be responsive and therefore need to cater for desktop, tablet, mobile etc. We also envisage a lot more javascript/jquery involved in the UX.

The question is, should we continue to use UI, should we definitely move over to mobile, or is there a decision to be made - and if we do need to make a decision, what questions should we be asking ourselves?

Thanks in advance.

The current site is www.instantlolly.co.uk