Like many financially savvy parents, Jim Stehr started a college savings account for his son at birth. When Stehr's second and third children came along, he opened accounts for them too.

But now Stehr, a financial adviser based in the San Francisco Bay Area, is rethinking the math. His oldest two kids are in pricey private colleges and might end up in graduate school, while the youngest is eyeing the Naval Academy, which is free.

As parents consider the best way to save for college, financial advisers say the kind of accounts matter, as well as the plan to spend the money when the time comes.

It is a natural parental instinct to do what Stehr did: open new accounts as the kids come along. Parents like to keep things equal, and there is also something psychologically satisfying about watching each child's account grow.

New York financial adviser Peter Palion said it does not matter how you slice the pie in terms of growth. The difference in compounding between three accounts with $3,000 and one account with $9,000 will be negligible if they all have the same allocations. Children who are far apart in age might have different risk tolerances along the way, though.

You might have an annual maintenance fee if you are saving in a tax-advantaged 529 college savings plan. At $30 a year, it could amount to 3 percent of a $1,000 yearly contribution.

If you saved all in one account until it was time to spend the money, you could just shift the beneficiaries as needed, or open new accounts and distribute the funds, without penalty.

Most states offer a tax deduction for 529 contributions per tax return, not per account. But more accounts would be better in Virginia, where there is a deduction for contributions of up to $4,000 per account per year.

The psychology involved is especially tricky when it is time to spend down money saved for college. Saving college money for each child was so ingrained in Ricardo Noceda's thinking that the idea of shifting funds from one account to the next was akin to stealing.

"It's robbing Peter to pay Paul," says Noceda, a physician in California.

Though the money technically belonged to him, in his head all those years it was one bucket for Olivia, now 24, and one for Dylan, 22. Even when his older daughter ran short to pay for her last year of school, Noceda did not transfer money from the other account to cover the shortfall.

Kelly Bressette took a more pragmatic approach, after saving in separate 529 accounts for 15 years for her daughters, who are now 24, 22 and 19.

"It was not easy because I needed to divide up the funds," says Bressette, who lives in Massachusetts. When it came to spending for the first two, she was cautious, because she was afraid of running out. Then it turned out that the youngest's tuition was far more expensive.

"I decided that I would use $10,000 per year for the first child and second child, and then use $20,000 per year for the last child," Bressette said.

Shifting funds around can often be more an issue of family dynamics than accounting, says Darin Shebesta, an Arizona financial adviser. A lot of it has to do with managing expectations, because even the kids get involved in the bucket theory — and can get attached to the notion that what is in their college fund belongs to them.

Beth Pinsker writes for Reuters.