Hi Alex,
You can add members of your board to a card by going to the card back and clicking the "Members" button on the right side. Adding a member will put their profile picture on the card front and back.
If you would like to assign people to individual tasks in a card, I would suggest using a checklist. Inside the checklist's items, you can "at" a person (e.g. @AlexSiPa) to indicate you want to assign this member to this checklist item.
You may also want to see if any of our [Power-Ups](https://trello.com/power-ups) can help you with your problem. Power-Ups are like plugins that you can enable on your boards to give them new and useful functionalities.
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