I've used a moving company twice, best investment I ever made!
They didn't dismantle or reassemble beds for me (I was able to do that myself),but you could ask. They will pack everything, so no need to take items from cupboards, etc.
I used Careline, and found them very helpful, especially when I got caught between houses for a weekend.
They don't unpack boxes at the destination,but will put the boxes in the designated rooms.
I downsized on my last move, and found I had too much furniture, especially in bedrooms (lockers, dressing table, etc) - my own bedroom is very cluttered as a result,I haven't gotten round to deciding what goes and stays yet.
I gave away some other furniture items, I didn't leave anything in my old house though.