The company that Richelle has already posted above would be my suggestion for anyone just getting into the market. You will be assigned an accounts manager to deal with directly, and I more than sure you will find that lever of service very helpful, and really needed when you are importing.
Now they do have a good range of middle of the road brands like those you have named, so you should be OK there.
Now being surplus you do have to take care with what is in your load, and the cleanest loads of clothing you can buy is usually NEW OVERSTOCKS.
Now NEW OVERSTOCKS are shelf pulls from retailers that never made it out the door, they don't contain customer returns, so they are seen as the cleanest loads t=you can get in liquidations.
NEW OVERSTOCKS does not mean you will get a pallet of lovely new pressed clothes to sell, in fact you can still get damaged clothing in these loads, some with stains and what not, so always ask the seller for a breakdown.
They will tell you an about how much is clean and how much is damaged and those types of averages, just remember they will be averages, so allow for it.
I'm going to suggest you forget about shipping single pallets fro the US, and the liquidator should give you the same advice, simply not cost effective at all. Start off with carton buys, Via should sell you clothing by the carton, and that will reduce your shipping.
Now regarding shipping, Via do ship world wide although their quotes are never the best, so I would suggest doing the ground work to arrange your own shipping, should save yourself a few dollars there.
Link hidden: Login to view is an excellent brokerage if you want to run the load past them for a quote.
Unfortunately I know of no European based liquidator moving clothing loads at the moment, so the US may well be your best shot.
Good luck with it.