I have a simple graphic for teaching key signatures, or the circle of 5ths (or going the opposite direction, the circle of 4ths)
C - all natural
F - Bb
Bb - Bb Eb
Eb - Bb Eb Ab
Ab - Bb Eb Ab Db
Db - Bb Eb Ab Db Gb
Gb - Bb Eb Ab Db Gb Cb
B - F# C# G# D# A#
E - F# C# G# D#
A - F# C# G#
D - F# C#
G - F#
Key - whats in the signature
Using this diagram, start from the top, C, and count four letters, you get F, the next key.
Starting from the bottom, G, count up five letters and you get D, the next key going in that direction.
In the middle, remember that the key of Gb is the same exact thing as the key of F#. They are the same exact note, just named two different ways. Played at the exact same spots on the fretboard.
The order of sharps and flats will help you remember Keys. The first sharp will always be F#, second will always be C#, then G# and so on.
The order of flats operates in the same way. You always start with Bb, then Eb, then Ab and so on.
If you remove sharps, they come off in the same order. Four flats will always be Bb Eb Ab Db. Remove one and go to three flats, you will always lose the Db.
So, if you can memorize the order of the flats, and then memorize the keys, you will always know the key of D major has 2 sharps, and the first two sharps are F# and C#.
The key of Eb major has three flats and those are always Bb, Eb, and Ab. And here's a tip, that last flat will give you your next flat key signature, Ab.
I'm not sure if I'm helping at all. This is how I teach it to my clarinet/flute/alto students.