Faced this bug creating my project. When I move camera everything that is close to my view is cutting off, and during the work on project the distance of cutting seems to grove up. It appears even on render. How can I fix it?

That would be your near clipping plane. Hit 'd' in the viewport to bring up the Display Options. Look at the Clipping section in the View tab and adjust those values. You can let Houdini guess a good range, or dial in your own settings depending on the size of your scene. If you are rendering through a camera it will have its own near/far, and this can again be found under the View tab of the camera parameters.