Well, Oathbound Paladin with Order of the People's Council has Bardic Performance, but it doesn't stack with Hospitaler (plus, it obviously doesn't scale besond the Paladin levels).
A better way is to use Variant Multiclassing from Unchained, which works perfectly fine together with regular multiclassing, and grants Iinspire Courage and Inspire Competence as a Bard of four fewer levels, starting at 7th level.
Leadership. Who's Sir Robin without his minstrel?
I've decided on a character build for it which is Cavalier (Gallant archetype) with 5 levels of Paladin (Hospitalier, it's mostly a flavor build ...)
If you're going 5 levels of Paladin
Well, Oathbound Paladin with Order of the People's Council has Bardic Performance, but it doesn't stack with Hospitaler (plus, it obviously doesn't scale besond the Paladin levels).
If you take 5 levels your Inspire Courage will get to +2/+2. You could take the MASTER PERFORMER feat (and EXTRA PERFORMANCE) and wear a DERVISH SIKKE and you'll end up with a +4/+4 (the same as a 17th level Bard) for 18 + CHA rounds per day.
It depends what you're wanting from this though.
The problem with the non-scaling is not so much the bonus, but the action type - you don't get below standard action.
Oh, and RAW, Dervish Sikke doesn't work because "If the wearer is a bard" isn't fulfilled.