Tips for beginning readers -
First, get your reading fundamentals down- what the notes look like on the bass clef, and basic syncopation. Then play a simple bass riff, nothing more complex than quarter notes, and write it down. Then write it in another key. Then look at it, and play it in that key. This is just a starting point, to expand towards writing down longer and more complex bass parts
for a lot of us who could play before reading, we have a block between seeing and hearing. That is, the notes don't make sense to us because we don't hear them in our heads, so that is the purpose of this little exercise- to create a two way street between playing and hearing. Once, for instance, you get it stuck in your head how the rhythm pattern 1/16, 1/8, 1/16 sounds, then, the next time you see it on paper, you won't have to read it, you just know how it happens, so you "read" it not as a series of notes, but as a musical "word". This is a key to good reading chops- learning to see passages not as a series of notes but as phrases. What is important here is this is a way to "feel" what you are seeing, because different styles of music are written differently, so you will see these patterns, and quickly "get" what the "groove" is supposed to be.
Here is an example for reading beginners: Since you know Badge, you probably know Cross roads. Play the first 4 notes of the riff. Notice how this pattern happens over and over again? It's nothing more than 4 eight notes. Root, up an octave and down a whole step, then back up a whole step. Since the tune is in A, the first note will be the bottom space of the bass clef, the next note, the top line, the next the space right under it, then the last note, the top line again. Write it as eighth notes, then write it as quarter notes. Now imagine a shuffle drum part in your head, and play thew notes one beat at a time. Same riff, played half as fast. Then play it up a whole step, to B and write that on paper. Then Write it in D , then E and you have practically written out the meat of the bass part to crossroads. Go back, and finish writing the rest of the riff on your own, then look at what you have done, and play it out. In my experience, I could learn to hear parts on paper a lot quicker if I used this "play it, write it, look it it, mess with it" exercise.
I feel for you about trying to play bass from a piano part. What a PITA, but it happens to me a lot.