Sadly the Lutron SmartBridge Pro is unlikely to be of help to you. It is only made for the north American market as Lutron seem to believe the world is flat and you fall of the edge when you leave the USA.
You can get Lutron for billionaires aka Lutron HomeWorks QS but not Lutron for mortals aka Lutron Caseta. (Perhaps Lutron are reflecting the fact that the UK has the highest density of billionaires in the world. )
For the UK market if you want to use smart bulbs then the suggestions of using Philips Hue and one of the various wireless remotes for the Hue platform is the best option. (Not Pico.) Personally I am planning to use wired smart switches with dumb dimmable bulbs. Even this is extremely hard work in the UK/EU as the majority of wired smart switches are US only - again! (Cough! Lutron Caseta, Cough!) However there are the possibilities in the UK of LightWave-RF, Den, Aurora Lighting’s AOne or using various Z-Wave or Zigbee micro modules with momentary switches.
Den is not integrate-able with anything else, LightWave-RF is a possibility but is for me too ugly. This leaves the micro modules or AOne. AOne is a Zigbee solution so would work with Smartthings.