The Cicco's have gotten very good reviews on the Board. I have no personal experience with them, but my colleague bespoke a blazer by them.
They ascribe to a more traditional cut, shoulder pads, roping etc... IIRC.
Since the OP wanted a 'soft' look, it would be wise to ask this upfront and ensure that there are no surprises.
Another place for MTM is Hong Kong Tailors in Monroeville. They do good work, once again, more traditional British style. I have my wedding tux...