Internal door- do you know how easy it would be to swap the opening side, e.g. from the right to the left?

[shoom]

I.e. if the handle is on the right hand side of the doorway, you'd push forward and leftward and enter with the open door on your left. But you'd prefer to push rightward so that when open, the door is on your right.

I assume the door could be removed and rehung, and the door frame would need a new hole on the opposite side for the latch, but am just guessing.

Yes we've done this, it's not too difficult and can really help a space work much better.

Yes you can (we have!) but be aware that if it's got an asymmetrical frame or is a fire door (which is heavier and has a self closer sunk into the doorframe) things could get more complicated!
The only issue we had when re-hanging ours (so it opened out into the hall rather than into the kitchen) was that we were unable to change the doorknobs to round ones as we have a firedoor, because the doorframe has a lip around it to aid the seal, and the knobs wouldn't go past it to close. And re-boring a large hole for the closer required a large drill-bit! And you have to measure the exact height of the hinges and sink them in a bit to get it to fit. It's not trivial and a much easier job with two when you're actually hanging it.
Also, what you describe involves turning the door around, you will find it may not match the paint on the frame anymore as the two sides of the door will have discoloured differently with time.

Thanks!

The door is a lightweight one, so I assume it's hollow inside. There are no door closers. It's probably from the cheap end of the range.

It doesn't close properly anyway and if needing some attention for that issue, I feel it'd be good to sort this too.

I need to speak to a carpenter about a few things so will add this to the list.

Yes, but a slight word of warning. I have done this with my lounge door, it stuck out into the lounge when hung one way, and I wanted it to be next to the wall when open instead, so got the joiner to move it. All was fine...
Until I came to turn on the light switch, that was now behind the door. Very irritating as I like to leave the lounge door open, so had to get an electrician in to move the light switch up and over the door to the other side.
Just something to think about OP...

Good point, I think it'd be the same for me!
(Considers just removing the kitchen door.)

It is usual for doors to be fitted so you have to walk round them to come into the room. It is said there are two reasons:

It gives the occupants an extra moment of privacy, if they should be scratching themselves or picking their noses, as people can't look in until the door is fully open

It reduces draughts.

Thanks Piglet, in that case the door currently opens the wrong way. It's a smallish kitchen and the door is all wrong.

kitchen doors should close - i) fire, ii) steam, iii) smells.

it is not advisable to remove a kitchen door entirely if it is the one that separates the kitchen from the rest of the house.