Between the Lincoln Memorial and Washington Monument (a little closer to the Washington Monument) is the White House to the North. From the park it is very small but we walked as close as we could get to the front. The next day we had a cab take us to the rear, which allowed us to get much close. As usual, some people were protesting but only a handful and not enough to bother anyone. Across from the rear of the White House are monuments to Andrew Jackson and LaFayette in a park which I believe is called LaFayette park.
After visiting we went to the White House gift shop and bought souvenirs including the first six pictures which were taken at a studio. If you buy something in the store you get one free picture, any others you have to buy. The pictures of us in the White House desk and White House podium were obviously taken there.