I have similar guitars and the major difference you'll feel is the string tension. The les Paul having a fixed bridge it has more tension. You'll probably also go from a 24 fret to a 22 (my gibson is 22 frets.) this will also come into play. Shorter neck, more tension.

I have an SG which is lighter but has the same bridge as the Les Paul. I also have a Schecter which has a Floyd Rose. The difference in huge. I won't bend has much on my SG, but I'll play faster. You see, your style will adjust to the guitar. At least that's what happens with me.

So be sure to try it out a lot before buying because the strings might be more spaced but other factors may bug you a lot. I happen to love gibsons so I'll always tell you they are the greatest guitars!