New Home Advice Needed

Hello all - looking to buy a new house with 4 fireplaces. None of the chimneys have a cap and grate around them, approximately how much does that cost on average? 3/4 chimneys have damper mechanisms that work but half of the damper seems to be missing or broke off somehow. These are iron dampers right above the fireplace. Would I only need to replace the damper plates or the entire damper mechanism? Approximately how much would that cost? Lastly, could I just ignore the broken dampers and install a cap damper at the top, any cons to this? Apologies if this doesn't make sense, I don't know much here and thankyou for any advice.

Edit: I had the chimneys scoped, flues look great no cracking or anything like that. 2/4 do need to be cleaned prior to use but that's fine.