That looks like a grocery cart.
As others have said, lighten your load so that you can manage it on your own.
For advice on that, go to the Travel Tips on Packing Light. You may want to explore the other tips there as well, especially if this is your first trip to Europe.
There's also a great Travel Talk on packing done by Sarah Murdoch, Packing Light & Right. It's amazing what she's able to pack in a carry-on bag and she's very tall so her clothes are not small.
The forum on Packing is useful and often entertaining. People share lots of good ideas about packing and many viewpoints are represented.
My main bag has 2 large wheels and never weighs over 20 pounds fully loaded. If the stairs I'm going up have high risers (as someone already mentioned is common in Europe), I have to go up or down them one at a time.
Sometimes I lift the bag, sometimes I can roll it up or down the steps on the big wheels. That makes me slower than many. Sometimes someone offers help. I appreciate that and sometimes I take it. But sometimes I don't because I believe that even if I'm slow, I should be able to manage on my own.