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If you are replacing like with like then there is no requirement to fit a fire door unless building control are involved.
It is not uncommon for someone who is renovating/extending their house to fit fire doors for sign off by the inspector. To then replace them after work has been done as there is much more choice in terms of appearance available for non-fire doors.
In terms of cost it's a question of how long is a bit of string as it a large scale. The door is the main cost and unless you are going for solid hardwood the liner and architrave should be reasonable. Look at Howdens for lower end stuff and I can tell you how much it would cost me (to give you an idea). Todd doors is a good starting point for the middle of the line stuff there are lots of other online options.
Not DIY but thinking of TW, how much does it cost these days to supply and fit an internal door + architrave? It's to a kitchen so presume fire door?