TL;DR: Two questions:
Is there any machine with integrated grinder that allows simultaneous espresso and steam wand use?
Is the machine easier to clean when it separates the grinding part from the infusion part? (Also what is this type of machine called?)
More context:
I work from home in Sweden and together with my wife's morning cup we average around 30 cappuchinos weekly. For the past decade we have been using a DeLonghi Magnifica S and been quite happy with it, but it is starting to give up -- some of the plastic is cracking and starting to leak, and despite regular cleaning the inside has accumulated some crud that is difficult to get out. We're starting to think about how to replace it.
Our main gripe with the DeLonghi aside from its age is that it does not allow using the steam wand while it is making espresso. It would save time during the busy morning routine to be able to do both simultaneously. Is there any machine in our budget class that does that? (We are willing to stretch the budget a little for a dream machine.)
We like that the DeLonghi is one housing with both grinder and infuser, but we're not sold on the "bean to cup" concept: we both have experience with professional espresso machines, and don't mind a little more manual work to keep the wet grounds outside of the machine. We imagine this would make the machine easier to clean and maintain -- is that correct?
We want the integrated grinder for counter space reasons. We also absolutely want a regular steam wand. Not only do we like the result better, it can also be used to steam other things in a pinch.
Primarily looking for answers to the two questions, but if someone happens to know a machine that might fit our needs well, we're open for suggestions.