Look at First Alert SMICO105-AC for replacement...Comes with 10 year battery.
The detector should be replaced every 10 years regardless.
The Villages Public Safety Department: 352-205-8280 will help with any questions.

When we moved into our (1999) new house, I replaced all the smoke detectors with the built in 10 year battery. I also put a label on each one with the year put in. So far, no problems.

The detectors with built-in batteries are really not any different from the detectors with replaceable batteries. If you want the battery to last 10 years, just buy lithium 9-volt batteries. Note that the sealed detectors with built-in batteries are designed to meet the code that requires a stand-alone detector, that is not connected to the house wiring, to have a sealed battery. Otherwise, detectors with replaceable batteries will do the same thing.

Mine started alarming as they turned 10 years old. There date of manufacture is on the back side, which you can see when you twist the unit. I found a package of six detectors on Amazon for a good price and replaced all six of mine. As others have stated, you can contact the fire department and they will come to your house and install the new ones for you. This is what I ordered from Amazon: Amazon.com

Unless the OP is buying defective detectors and/or batteries, the issue is not the age of these items. The OP said that all of the detectors were replaced one year ago, and the batteries are being replaced every two months.

Fire alarms
 

Try calling the local fire department and ask someone to come out and look at what you have for fire alarms. I bet they will recommend certain ones and where to place them in the home.

Why not just take a photo of one of them with the model number on it? Or, remove one and take it to the Fire Department. As I understand it, the Fire Department's only function is to install detectors that the homeowner provides. If there is an issue with the system, the OP should call an electrician.

I just had that and I noticed the white wire from the alarm became loose from the connector and I had to reconnect it. You could also have the Fire Department take a look - it's a service they provide to us old folks.

I replaced all the smoke alarms last year because they were old -- DO NOT Purchase Kidde smoke alarms -- an alarm would go off for no reason -- when I contacted Kidde they told me to check for insects. In one week, the Kidde smoke alarms went off four times -- I returned the Kidde smoke alarms to Kidde and they would not refund my money. After reviewing on the internet, it was a common problem -- so Kidde knew there was a problem and would not stand behind their warranty. I also found out that there were many recalls on their products over the last 10 years.

IF
the detectors are sounding
after an average of 2 months,
appears that they may be draining the batteries … which may mean the circuit breaker was tripped when you replaced the units.

As for sounding the alarm when you simply fry an egg … that is the primary reason why smoke detectors are installed at the sleeping areas only

I know this isn’t exactly your scenario, but your new batteries could be bad.

I replaced all my smoke detector batteries a few months back with new, name brand batteries. All was fine for the first day, The next day one of the detectors started chirping at me. I purchased another package of batteries and a friend stopped over with a battery tester. The “new” battery from the chirping detector showed it to be “low”. We checked the newest package and they all tested at full power. I ordered a battery tester for future use!

Detectors with combination smoke and carbon monoxide go bad more frequently and a new battery will not make it work.

There is no reason why our beloved govt should allow these combo detectors.
For one:
CO is heavier than air and will crawl along your floor.
Smoke will rise and hang at your ceiling.
Tell me how a combo detector makes you safe ????

No need to bring science into this :)
A CO detector is useful in a 1970s garage.