Just as long as you arn't planning on using these electrical appliances in a bathroom ?! As that's not permitted in UK ! You could try asking a joiners shop to make something for you ?!

Go for the smaller size drawers and get a laminate work top cut to size. Rather than hack the IKEA drawers and the work top. The drawers can also be wall hung rather than freestanding, to achieve the desk height you're after. I would also choose a darker work top to disguise pen and pencil marks from the kids. For my kids playroom, I used Matt granite effect laminate and cut down chrome breakfast bar legs from B&Q and IKEA filing cabinets underneath. Within a week the kids managed to get red Sharpie on it.

Funnily enough I was just thinking about kitchen artwork. My sis got custody of decorating with big Banksys so I'm not allowed any of that ;-) I do like this artist https://www.google.com/search?q=Georgia+Cox+artist&client=ms-android-vf-gb-revc&prmd=isnv&source=lnms&tbm=isch&sa=X&ved=2ahUKEwiY_-zgvsriAhUoRBUIHaHeCoEQ_AUoAXoECA8QAQ&biw=360&bih=657 But originals might be a bit much for the kitchen (and my budget!)

The door handle is in the same position as yours, in the upper centre of the door. There is no room for door hinges, but even if there was room I still want the door to pull out like a drawer rather than swing open so that there is immediate access to the contents of the attached drawer. I know it would have to be the bottom drawer. If you have any suggestions as to the best way to attach it that would be great.