Not a fan of scalar playing. Always sounds like they're running scales. I like chordal playing, where you use the chord notes to decide what to play. Doesn't mean you stick only with the chord notes, but you use them as the impetus for your improvs. That's why when people ask me what my favorite scales are, I always reply, "The chromatic scale."
I like doing a bit of both. If you know your 7th chords you can stick to the chord tones without really having a clue about which key you are in. But I think it sounds a lot more interesting if you learn and know which scale the chords are related to, so you can throw in some tasty non chord tones. Course the problem is harmonic analysis can get extremely complicated with some forms of music, because cords don't always function within a key center.
@Frankhonda In addition to Major, three forms of Minor, and Pentatonic, there are various Blues scales. I believe the most common blues scale is just the minor pentatonic scale with an added b5 or #4. The b5 and #4 are the same pitch, but carry a different note name; we call these enharmonics. This Wiki calls it the Hexatonic blues scale...
Blues scale - Wikipedia
Keep in mind the Major and Minor pentatonic scales are actually just inversions of each other...in other words they are made up of the same notes. For example C Maj Pentatonic is C,D,E,G,A,(C), and A Min Pentatonic is A,C,D,E,G,(A)...Hexatonic A Blues would be A,C,D,D#,E,G,(A). I would think of this as the ascending form. Descending would be A,G,E,Eb,D,C,(A). A pentatonic scale has 5 notes and a hexatonic scale has six. But it's common to play scales from root to root...Note that I put the extra root in brackets ().
Once you have totally blown your mind on that, start looking at the modes. In there most basic form the modes are just scales that result if you start the Major scale on a different scale degree than 1. Here are the Major modes and their scale degrees. 1. Ionian, 2. Dorian, 3. Phrygian, 4. Lydian, 5. Mixolydian, 6. Aelion, 7. Locrian. Modes can also be extended to the three minor scale forms. The same exact modes apply to Major and natural Minor. Modal analysis gets quite a bit more complicated if the idea is extended to Harmonic and Melodic/Jazz minor...it's not something I can do in my head.
Some other scales you may eventually find interesting: Whole Tone and Diminished Scales. There are two diminished scales I am familiar, with "whole half," and "half whole."
I am sure all of this is a bit overwhelming. You might want to save some of this in your notes for ideas of what to study later. Or all of this may be totally useless to you, if you only want to play fairly basic pop music.
My recommendation is to start with your Major and Minor scales. Learn a major scale first and then learn the relative minor scales next. While you are doing this, learn your triads and diatonic 7th chords for the Major and Minor keys. This is basically what I was taught for the first three semesters of music theory in college. It's not hard material, but it's a lot to internalize.
Music theory is something you can study for the rest of your life...so don't let it overwhelm you. Try to learn a little bit at a time and keep a journal and make recording so you can look back and see how much you have progressed...this can be important because sometimes it feels like you are not progressing even when you are.