There are "standard" alkaline AA / AAA cells that should not be charged at all. There are more expensive rechargeable cells but some require to be `charged by "their" chargers and often fail with other chargers.
I used various combinations of chargers and rechargeable cells and always it worked quite well. Some cells tend to get shorted after 3-6 months of use, others do not deliver the full charge. For occasional use the low-cost alkalines eem to work better. Rechargeable cells are best for a "massive" use of battery-run devices, the cost may be less.
Test your devices for a current they draw from the battery. Use AA cells in place of AAA if the current is > 100-300 mA.
Best of all, use a regulated DC power supply if possible instead of a battery. Or use D cells for a higher current to save money.