I have a Chelsea and a RL Richmond vest (and have tried on the Richmond Jacket). Here's my thoughts:
The Barbour is heavier than the RL and mine has a very light fleece interior, so I'd consider it more of a winter jacket. The construction is a bit burlier than the Polos and the coat has some heft compared to most quilts, but the sizing has Barbour's usual vagaries so you might need to size up or down a bit to get it right. Leather trim at the wrists and underneath the collar, back snaps at the waist to give it some shape, extra zip pocket on the front is great for my phone/keys.
The RL is a very nice jacket but tends to run small all around - it is shorter and tighter - and you should automatically size up one. It has more details than the Chelsea (2-way zipper, throat latch, moleskin lined pockets, etc.), but the delta between the body and the shoulder sizing is a bit odd - I am a standard US42/EU44 and I had to take a XL to get the shoulders to fit and then take in about 2" - 2.5" in the body. It is a lighter quilt and is probably more of a Fall/Spring rig; there are also more color options. I prefer the Richmond to the current options as the suede patch and/or the new pockets seem a bit showy to me.
I scored both an FleaBay NWT for about $100 each - retail pricing is a bit silly - and they are go-to pieces for me. Vest gets a ton of action as it can be layered under or over a pretty big range of combos.
Hope this helps...