Americans Giving Care to Elders (AGE) Act of 2021 This bill allows a tax credit for a portion of a taxpayer's expenses for eldercare. The credit applies to expenses to care for certain relatives or members of the taxpayer's household who have attained the age of 65 and require assistance with activities of daily living. Eldercare expense include amounts paid for: medical care, lodging away from home, adult day services, personal care, respite care, assistive technologies and devices (including remote health monitoring), environmental modifications (including home modifications), and counseling or training for a caregiver. The amount of eldercare expenses incurred during any year that may be taken into account for the credit may not exceed $6,000.