Three different personalities, three different political roles, three very different ways of doing business.

I’m talking about Governor Charlie Baker, Senator Edward Markey, and Senator Elizabeth Warren, and how they’re operating in the Trump era.

During the presidential campaign, Baker disavowed his fellow Republican; since Trump’s election, however, he has visited the White House, where he sat next to Ivanka Trump at a dinner for governors, and has cultivated relationships with administration officials. He has joined a Trump administration commission on opioid abuse. Although he has voiced frequent disagreement with Trump policies, he has generally done so in a matter-of-fact or muted manner.

That lower-key tone has frustrated some Trump critics, some of whom want Baker to join the regular protests against the administration. A governor can’t operate that way, Baker’s team says. From transportation to life sciences to NIH funding, they see Baker as having to deliver for a state that has an all-Democratic delegation at a time when the GOP controls Washington.

As for Markey, he’s playing the fierce-protector-of-the-state role Ted Kennedy took on after his presidential ambitions ended. Almost as soon as Trump unveiled his March budget, Markey was on point with a report on the perils the president’s fiscal plans held for Massachusetts. During a recent speech to the New England Council, he offered an impressive overview of the challenges and risks the state faces in Washington, one that showcased his policy and legislative expertise.

Although he’s been a pointed critic of Trump, Markey says he’d meet with the president, and notes that he recently went to the White House to talk to top Trump advisers about opioid abuse. His relations with Baker, meanwhile, are also known to be warmer than Baker’s dealings with Warren.

“When these issues come up, I am hard-wired to work with the governor,’’ says Markey. “I am hard-wired to think that way.’’

Warren has far and away the highest profile of the three pols, and is a more regular part of the ongoing national argument, where she coanchors the Democratic Party’s liberal wing. In part, of course, that’s because of her signature issues, Wall Street reform and bolstering the middle class, and in part because she works to stay in the headlines.

Her national maneuvers call to mind the way John Kerry went about positioning himself as he prepared to run nationally. And it naturally leads to speculation about whether she wants to run for president in 2020. Certainly her new book, “This Fight Is Our Fight,’’ reads like a campaign manifesto.

It’s just a continuation of her life’s work, insists Warren, who says she’s simply doing what she was elected to do: “Fight for Massachusetts working families.’’

So does she see herself perhaps running for president if she wins reelection next year?

“No, I don’t,’’ she says. “No.’’

That won’t, of course, quell the speculation. Indeed, Republican political groups are busily trying to scuff her up — and raise money — by painting her as a hyperpartisan, left-wing scourge. That’s purposeful caricature, of course, but it is nevertheless true that even some admirers worry that Warren is sometimes reflexively combative.

“Look, I fight when I need to fight, and I work quietly and cooperatively when that’s the best way to get something done,’’ she says, citing a flurry of legislation she has cosponsored with Republicans.

Warren’s long-distance relationship with Trump has generally been antagonistic. When Jon Keller of CBS Boston asked her recently if she wanted to meet the president, she replied: “I’m doing OK right now.’’ That was meant jokingly, says Warren. “I’m not looking for a social call, but if there is work to be done to help working families,’’ she would certainly sit down with Trump, she says.

So how does it all add up? Judging from several recent polls, Baker has struck the best balance so far. An April Morning Consult poll shows him with a 75 percent favorable, 17 percent unfavorable job-approval rating, while Warren’s clocked in at 56-38. Markey’s was 55-23.

There’s trickier electoral terrain ahead. And with Baker and Warren both running for reelection next year, Massachusetts voters will have a chance to deliver a more definitive verdict.

Scot Lehigh can be reached at lehigh@globe.com. Follow him on Twitter @GlobeScotLehigh.