How to cut out parts of the video clip

Direct answer: double-click on the clip in the Project panel (lower right corner) while in the Edit module/workspace. That brings the clip into the source monitor, upper left corner. Play the clip to the first section you want to keep, hit the "I" key to create an "in" point, play to the end of what you want to use in that section, hit the "O" key for an outpoint. Hit the period to drop that onto the timeline. Play to the next part you want to use, hit the "I" key again, it moves the in point. Play to the place you want to end, hit the "O" key, and the period key to drop that onto the end of the timeline area down below.

Progress on through the clip like that.

Or ... alternatively ... as you make each selection with an in/out point, right-click, "Create Subclip", and give it a useful name. That creates a full list of each section you've selected. Very useful in many ways.

Now ... for general advice ...

This is a complicated and complex program, and Adobe provides a lot of help materials, both "Help" files and video tutorials, such as AdobeTV. Search for the Adobe Premiere Pro tutorials, and there's quite a bit there. Past that, while there are many useful free tutorials on YouTube/Vimeo for doing things, perhaps getting a subscription to a good service like lynda-dot-com ... and there's another more European-based I can't recall right now ... could be of use. Studying and doing along with a good video tutorial system is how I started out ... and I still use it quite a bit as I keep wading deeper into the program.

Neil