House Speaker Tip O'Neill may have his detractors, but out across the country his popularity seems to be rising. His recent trip to Moscow may have helped, but a Harris poll finds he has a 54-to-38 approval rating when people are asked how well they think he's doing his job. The first poll taken in 1981 had a 46-to-44 approval rating and in 1982, a 50-to-41 rating . . .

With all the fuss Washingtonians make about bagels you would have thought they were discovered here. Last night, about 300 people showed up at Duke Zeibert's for an Acropolis Books autographing party complete with bagels and everything that goes with them for "The Bagels' Bagel Book" by Marilyn and Tom Bagel (that's their name) . . .

Sen. Thomas Eagleton, who suffered an Easter weekend heart attack, was released from Bethesda Naval Hospital yesterday . . .

One of those Washington lobbying facts you might have missed: The United Egg Producers, in town pushing their product, have stored 21,600 double-yolk eggs at the fancy Bristol Hotel in preparation for an omelet fest tomorrow in the Longworth Office Building . . .

Enough of those instant books about rock stars and presidential candidates. Now for one about someone everyone really cares about. Pocket Books is rushing to print an authorized biography of Hulk Hogan, that 305-pound, 6-foot-8 professional wrestler, titled "Hulkamania! Hulk Hogan, America's Hero." After all, Cyndi Lauper and Gloria Steinem think he's terrific. How is it going to be possible to wait until May 15, when the book is promised to hit the stands? . . .