It's highly unlikely that they'll have 3 draft picks this year.
Houston's pick is shipped to another team (I think NJ) if the Rockets make the playoffs so they might lose that one
The pick they got from New York pick is top 5 protected so the Rockets will probably have that this year
The pick they got got from LAL is from Dallas and top 20 protected, so Dallas would have to finish in the top 10 for the Rockets to keep that.
Houston's pick is shipped to another team (I think NJ) if the Rockets make the playoffs so they might lose that one
The pick they got from New York pick is top 5 protected so the Rockets will probably have that this year
The pick they got got from LAL is from Dallas and top 20 protected, so Dallas would have to finish in the top 10 for the Rockets to keep that.