This dirt simple little chart made since to me. Hope it does for you. First there are two ways of looking at modes; 1) the relative way of looking at modes where the notes stay the same and the key changes and then 2) the parallel way where the notes change and the key stays the same. This is known as the Parallel mode method. What I will say below is Parallel.
Most mode posts do not bother telling you if they are speaking relative or parallel - and that makes it confusing.
What I'm saying below is also based upon the Major scale. Our Major scale will have seven modes, three major, three minor and one diminished. I'm going to just give you the three major modes right now.
C major scale = C, D, E, F, G, A, B and octave C.
That is also the Ionian mode. I like to think of it as home base for all the major modes. Said to have a upbeat happy mood. If that is what you are looking use the major scale or the Ionian mode. Modes are played using a chord vamp instead of resolving back to the tonal tonic key of C major.
The Lydian mode is the same as the Ionian mode with the 4th note sharped. Raised a fret. We refer to it in scale degree numbers 1-2-3-#4-5-6-7. Notice we changed one note. It's not all that complicated. Lydian is said to have a day dreamy mood. I really do not hear that and it is so much like the Ionian mode I usually skip it or add a b7 and it then becomes Lydian Dominant, and I do hear the difference.
The Mixolydian mode is the same as the Ionian mode, but, with the 7th note flatted. We refer to it in scale degree numbers as 1-2-3-4-5-6-b7 or note names as C, D, E, F, G, A, Bb. Again we changed one note of the C major scale to get C Mixolydian. Remember this is parallel where the notes change and the key stays the same. Mixolydian is said to have a Latin mood. Yes it is used in the Blues because of all the dominant chords used in The Blues.
So if you want to play the C Lydian mode it would be the C major scale with a raised (sharped) 4th note, or C, D, E, F#, G, A, B. And Mixolydian would have the C major scale notes with a flatted 7 (b7).
Lets get you playing in Ionian, Lydian and Mixolydian first. We can worry with the minor stuff later. Why am I saying that? Most Pop, Rock, and Country music is major key, so one of those three will get you going with out making it so complicated.
Guitar people get off on modes. We old bass guys seldom go there. Why? Modes are great for playing the tune and improv melodic playing, but, most of what we play is harmony and that is follow the chords and play notes of the active chord to the beat this specific song is using.
You kinda need to know about modes so the guitar guys do not confuse you will all their modal talk. Most of the time they are confused also.
Good luck.