Lots of good reverb pedals shared with guitar. Boss RV-3 Reverb/Delay was my favorite (though I don’t like the RV-4 and 5 as much). TC Hall of Fame are popular, as is the EHX Ocean’s Eleven. And of course Strymon.
Chorus - my absolute favorite is the EHX Bass Clone. It has a cool crossover function to preserve the low end.
I just sold my Bass Clone and my RV-3 is up for sale now. I highly recommend finding and trying one if you can, it’s a 20 year old model but it is stellar.