If you like to process this much it helps a lot to have a basic, even free daw like ableton lite or reaper where you can drop in bass-less tunes and play along with them while recording. Then listen to the mix and see how it works.
Great advice here...this is where the rubber hits the road. I came back to bass after over 60 years away...a time where pedals for bass were unheard-of. I fell into the TB thoughts that you had to have pedals to augment or improve your sound.
Fortunately for me, I bought of few of the cheaper, highly recommended pedals at the same time as COVID hit and I invested in a home DAW. The pedals were compressor, OD, HPF and several tube pedals.
With Reaper, Moises and a Looper, I was able to compare my raw basses with the pedals to determine just how much they provided. I ran tests just with my basses and through various amps (Fender and Ampeg) and then through plugins of the same manufacturers. My conclusions were quite notable.
First, they did alter and sometimes improve the sound but, it was more noticeable when playing through the DAW with ear/headphones. To its credit, the compressor did even out the volume of notes. The OD was not something I would use often. The HPF is only useful when playing a volume in a room and EQ that needed it.
The tube pedals did offer some tubey goodness and would probably be better suited to playing at volume. Since I am not playing out and at volume, I have sold and am selling my tube pedals.
In the process of selling my pedals, I am amazed at the number of them that are always for sale. It makes me wonder...

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Edit: OOPS, I just read the rules for Effects. Sorry, didn't realize I might be treading on toes. If so, maybe the mods can delete this before sending me to the penalty box.