Jimmy and Rosalynn Carter's Grandson Offers Update on Their Health: ‘We’re in the Final Chapter’ (Exclusive)

Josh Carter tells PEOPLE that while it's "different" visiting his grandparents' home now that they've grown a bit quieter, "they are still here, they are still holding hands and still very much together"

Life at Jimmy and Rosalynn Carter's Plains, Georgia, home is "quiet and calm" these days, according to their grandson.

"My grandparents have always been the entertainers," Josh Carter tells PEOPLE, reminiscing on how visits to see the former first couple were once filled with exciting stories and souvenirs from their world travels. "But now we're kind of the ones having to entertain. It’s different, it's just a different era."

In February, the Carter Center announced that Jimmy, 98, had decided to cease medical intervention and enter hospice care "to spend his remaining time at home with his family." Three months later, the Carters revealed that Rosalynn, now 96, has dementia.

Related: Jimmy Carter's Grandson Reveals How Family Is Staying Close and 'Expressing Love' amid Hospice Care (Exclusive)

Josh, 39, says that since Jimmy began hospice, "there's always somebody at the house" to keep his grandparents company — often one of their kids. More recently, the only visitors to their home have been family and caregivers.

But while Jimmy and Rosalynn aren't as active as they used to be, Josh clarifies that they're still present and aware of what's going on around them.

As for his grandfather, "He’s still fully Jimmy Carter," Josh says. "He's just tired. I mean he's almost 99 years old, but he fully understands [how many well wishes he's received] and has felt the love."

Rosalynn, Josh adds, understands that she has dementia and even signed off on the press release that revealed her diagnosis in May. "She still knows who we are, for the most part — that we are family," he says, noting that a good night's sleep improves her symptoms. "My grandmother is still able to form new memories."

Related: Rosalynn Carter Rings In 96th Birthday at Home with Butterflies and Sweets as Locals Pay Tribute

Josh says that it's "gotta be hard" for Jimmy to see his wife of 77 years losing some of her memories — "but on the other hand, they've experienced everything that you can together. I think the beautiful thing is that they are still together."

And they're not just under the same roof. "They are still holding hands ... it's just amazing."

Related: Rosalynn Carter Has Never Known Life Without Jimmy — She Met Her Future Husband as a Newborn

Over the past several months, the Carter family has worked to be at peace with whatever comes next. "Odds are I'm gonna lose my grandfather before my grandmother," Josh says. "He's in hospice care and she's not, and it's just math."

In the meantime, though, they're focused on showing their love and appreciation for the fulfilling lives the former first couple gave them — a sentiment that another one of their grandchildren, Hugo Wentzel, recently expressed to PEOPLE.

Related: Jimmy and Rosalynn Carter Enjoy Grandchildren's Living Room Juggling Show: 'They Loved It'

"We used to get together every year for New Year's," Josh recalls of a decades-long tradition led by his grandparents, which only stopped at the onset of the COVID-19 pandemic. "Every year we got together our entire family and would go somewhere amazing. ... And those family trips are one of my most cherished memories."

Josh also holds close the bond that his older son formed with Jimmy over fishing, and still gets a kick out of the time that his younger son did tricks on a scooter in the former first couple's home, which Rosalynn still doesn't let him forget.

"It's clear we're in the final chapter," Josh says. And though having a "runway" to send his grandparents off won't make their losses any easier, knowing that "they lived their lives to the fullest" helps.

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