The only “practical” difference of going from C of A to LAA is you are restricted to day VFR. No problem with equipping the aircraft with appropriate equipment to fly right down to the limit, but obviously no ILS into your local space port.
I have no experience of the Jab aircraft. If you go onto the LAA web site and find your local strut, you will probably find a local owner with one who will be more than happy to help.
If you are finding the LAA world confusing send me a PM and I will try to help.
Rod1