You can check what you can and cannot bring in your carry-on:
https://www.tsa.gov/travel/security-screening/whatcanibring/all
Cell Phones
Carry On Bags: Yes
Checked Bags: Yes
Phone Chargers
Carry On Bags: Yes
Checked Bags: Yes
Portable chargers or power banks containing a lithium ion battery must be packed in carry-on bags.
For more information, see the FAA guidance on portable rechargers.
Lithium batteries with 100 watt hours or less in a device
Carry On Bags: Yes
Checked Bags: Yes (Special Instructions)
Lithium batteries with 100 watt hours or less may be carried in a device in either carry-on or checked bags. Loose lithium batteries are prohibited in checked bags. For more information, see the FAA regulations on batteries.
Lithium batteries with more than 100 watt hours
Carry On Bags: Yes (Special Instructions)
Checked Bags: No
Lithium batteries with more than 100 watt hours may be allowed in carry-on bags with airline approval, but are limited to two spare batteries per passenger. Loose lithium batteries are prohibited in checked bags. For more information, see the FAA regulations on batteries.