I never trust hotel hair dryers. Some deliver little more than breeze. Others make you hold down a button the entire time you're using it, which is tiring (and I only spend about 10 minutes drying my hair; for my friend who spends twice that amount of time, it's really annoying).
Compact hair dryers in Europe are quite inexpensive. Buy one, use it during your trip, and make it available for friends and family to use when THEY go to Europe. I bought a Baby Bliss hair dryer in Paris for about $15 almost 10 years ago, used it regularly during the 5 years we lived in Brussels, and it's still going strong.

Braun razors are usually dual voltage. I have got 3 and have been using them for years everywhere with just a plug adaptor.
Buy your curling iron in Europe. I found babyliss are making good products.

Most European hotel bathrooms have low-voltage outlets in the bathrooms specifically for shavers. Shavers don't need or generate a lot of power as they don't make heat. A standard current converter and a plug adapter will be fine.
For your curling iron, you will need to know how many watts it puts out.

Call Magellan's, they have a toll-free number. They are wonderful about advising which electrical thingies you can buy (from them) to solve your appliance issues.

I always carry a hair dryer. Not all rooms have a hair dryer, and some rooms have a hair dryer that does not work. So it is less of a hassle to carry a dual voltage hair dryer and the appropriate plug for that country.

Last year in Vienna, the hotel's hair dryer shorted out and hot sparks flew out of the plug. One spark landed on the toilet seat and burned a hole in the seat! The people at the front desk were not concerned.

I got my converter at Walmart for about $20 and it has a high/low switch. The low is 0-25 watts and the high is 26-1875 watts. It is Travel Smart brand and came with all the different plug adaptors.

Or you can buy a 1600 watt hair dryer here and then you can use the converter that comes with inexpensive sets. We were in Italy for the first two weeks of April. All of our hotels had dryers but they were VERY weak.