In my experience, they are very strict about liquids, candles, batteries, or anything that could potentially damage other things or cause a fire. You can bring your lamps and buy 220 volt bulbs when you arrive and plug adaptors. If you have area rugs, you will probably want to bring those as most European places have hard floors. Since you know where you're going already, you could ask about the floors. If you pack a box yourself, leave it open so they can see it. As long as they mark it CP as carrier packed you should be okay for insurance. Make sure each box and each unboxed item is numbered and entered on the inventory. Don't let them pack any valuables. Also make sure you keep anything you don't want packed in a separate locked room or in your locked car. There are usually more packers than you can keep your eyes on and they go fast. Things that can't be moved like a phone or things that stay with the property, clearly mark with tape and marker "Do Not Pack". They will usually take food in cans or boxes. You can pre pack small items into ziploc bags which will make unpacking on the other side much easier. Otherwise you will end up with individually wrapped pencils and handfuls of paper clips. The packing for an overseas move is usually very good. Furniture will be completely wrapped and padded if necessary.
I'm not sure why you are putting more in storage than you are bringing unless your house will be furnished. You have a very generous weight allowance. Sometimes things get used or damaged while in storage and you won't know about it for years. We've done many moves and have had very little damage.
It's a good idea to provide drinks and food for the crew. Moving is definitely stressful. I hope everything goes well.