Paris is the weediest hero in the game from a lore perspective. The foppish love rat who starts the Trojan War, and then - in the Iliad at least - takes no responsibility for it, chickening out of a duel that might've settled the whole thing and then spending the rest of the war in bed with Helen while proper heroes like his brother Hector are out there fighting. But, by picking him to play and cleaning up his mess, you can redeem him! And it's actually pretty fun doing so.
For some reason, Paris gets one of his brother's best unique units - the Champions of Troy. He misses out on Hector's Chosen, but replaces them with two of the best archers in the game - Trojan Nobles and their upgrade, Trojan Princes - as well as a unique archer chariot. Honestly, his archers are so good (Paris himself buffs them when he's leading the army) that you can win battles by just spamming them and keeping them protected. They survive really well in auto-resolve too, if you're into that.
Bickering with Hector via the Priam's Heir mechanic is a laugh, but because earning Priam's favour gets more difficult the higher up the ladder you climb, it can be quite stressful. Some of its goals can be literally impossible to achieve, too, like when I got asked to build a tier three wine merchant without any buildings from the same chain - even had I had the resources, the construction time would've exceeded the ten-turn limit. That's just something you'll have to put up with.
Moving Helen around to keep her and Paris happy can be annoying but for the most part it's a boon, as she grants huge happiness and growth buffs to the territory she's in. Assuming you'll be using your epic hero to do a bit of fighting - as you obviously will - this means you'll be parachuting Helen into some pretty war-torn areas, which is handy as she almost guarantees that those areas will be stable. Paris is great for those who like to consolidate and develop their conquests, rather than burning them down.
RELATED LINKS:
Total War Troy Sarpedon guide: start position, campaign mechanics, and unique units
Total War Troy Agamemnon guide: start position, campaign mechanics, and unique units
Total War Troy Odysseus guide: start position, campaign mechanics, and unique units