@spickensThe BioShock series is definitely good and I'd recommend it to everyone who asks me but I wouldn't go so far and annoy everyone until they play it.
BioShock Infinite is a good game to start. Its controls can be weird at times but nothing too major (it just feels better to click the right mouse button to change between the pewpews and your zappy hand).
You will understand everything of the story without any issues because Infinite has a completely separate story from the previous entries (you're not in Rapture tho.
If you prefer an underwater setting, then you should choose either BioShock 1 or 2).
Also, in Infinite you get a side kick. She gets ammo, vinegar (stuff for your zappy hands) and coins for you, picks locks, etc.
In Infinite, you'll get revived directly where you died but have only a part of your health restored, whereas in BioShock 1 you have set "respawn chambers" but you'll be revived with full health
In the end it comes down to personal taste and which setting, respawn behaviour, etc. you prefer
@lucy