Pets will reduce your status upkeep if you have a status room.
I have 4 pets atm, they range from 1 gold and a few silver and up. I pretty much got the cheapest ones you can buy. My status has been reduced between 4 pets, lore and legend items, collected items, and heritage items from 1800ish upkeep to 500ish upkeep.
I have never heard of pets following you on a adventure? Certain classes get a spell that summons a pet that does nothing (certain scout classes and paladins for sure) but that is the only ones I know of.
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Hi