Most of my experience has only been with shipping my own items to myself from the US to HU.
Haven't done it for several years so prices and rules have changed since then.
.....
Shipping is high now even without VAT on top of it.
Not to be negative but the last time I sent myself a box of personal items from the US it sat in the Netherlands for nearly 5 months, had to run all over Budapest to find out what happened. Only was delivered once I demanded my insurance money on the box. Seems they use a middle man and that's where the problem happened.
....
Thinking next time if and when I return for good to the US, I may just pay at the airport for cargo with 10 or more suitcases extra fees are cheaper then using a actual shipper plus they will arrive on the same or next few flights. Worth the extra $100. or whatever they now charge per extra bag just to save on the worry of where my things are.
I hear you Marilyn!
Rant mode on.....
One thing about import duties etc is that there's base price of the goods, then the import duties, any transport costs and then the VAT (on the whole lot). So this gets really annoying. And from North America, it's really criminal.
I get car parts shipped sometimes. If I remember correctly, can say buy a part for $100, pay transport of $50 (if I'm lucky), then EU import duty at say 10%, then kicked more with 27% VAT ($100 item + $50 transport = $150 + 10% duty = $165, $165 * 27% = $44.55, grand total = $209.55).
It's truly horrendous as now I'm north of double the retail cost back across the pond. And I was being very generous on transport. It's usually a LOT more as car parts are heavy. It would be almost cheaper for me to fly to the USA, buy an appropriate second hand car, put a load of second hand car parts in it (as then it's one unit), then ship it as a second hand vehicle, second hand spare parts or scrap to Europe. It's surprisingly economical to ship a car to Europe - $1000-$1500 USD (ship to Amsterdam, then drive it here) and doesn't take that long.
I spent a small fortune some years ago on keeping a pile of junk in storage but in the end, I just shipping it to an empty place Mrs Fluffy's family owns and we just piled it up in a room. Now I think I'll have to get a "kontener" (UK: skip) in order to get rid of it all. At least 50% of it is worthless stuff that I couldn't even give away. Keeping in storage is a lot more expensive than just clearing out the garbage and keeping the rest (store at a relative's place the cheapest!), shipping it by carrier or driven yourself (at least within Europe) or taking it as baggage.
It's often cheaper to send stuff to HU by a parcel company rather than the usual suspects of DHL, Fedex etc. I can send ~20 kg from the UK to here for about 30 EUR. It's much cheaper to do that than pay for excess luggage. The price of airline luggage is about 1% per kg of the non-discounted adult ticket (sometimes cheaper and more comfy to upgrade to a discounted Business Class ticket than pay for excess bags, especially on Lufthansa or BA).
Anyways, apart from my major waffling in rant mode, there are alternatives to the "evil" trio of DHL, Fedex or UPS etc, e.g www.parcelmonkey.com - $85 for 20kg to HU plus insurance (usually a con as well).
Rant mode off!!