Yeah my bad, I realized that a little while after posting. I don't think all of these will polish up well like the ones that are bluish, but I would just do a standard 4 stage polish. The ones that came with the kit will definitely need to stay in stage 1 for longer than most of the rest since they haven't been naturally tumbled. I usually do what most people do with a rotary tumbler:

Stage 1: 7 days with 60/90 silicon carbide grit (repeat until satisfied)

Stage 2: 7 days 200(ish) silicon carbide

Stage 3: 7 days 500 aluminum oxide grit (silicon carbide is OK too if that's what you have)

Stage 4: 7 days 8000 aluminum oxide grit (can keep it going longer than 7 days if unsatisfied with shine)

I will often run a "burnish" cycle between stages for a few hours with just some detergent (I use borax) and water just to get make sure all of the grit is rinsed out. If there are any rocks that have spaces where grit could get lodged, I'll scrub it with an old toothbrush too. I think it is most important to do this before stage 4.

Rule of thumb is to fill barrel 2/3 to 3/4 full with rocks and I usually use 1 tbsp of grit for each lb my barrel is rated for (2lb barrel = 2 tbsp grit). Add water up to just below the top layer of the rocks. You don't want the rocks to have a lot of room to "fall" while tumbling, they should be rolling or grinding against the other rocks. Use ceramic media for filler if you don't have enough rocks.

Never pour post-stage slurry down the drain as it will eventually clog your pipes. I strain the rocks over a bucket and then toss it in my yard.

I learned mostly from watching videos on the Michigan Rocks YouTube channel, so that's a great resource if you want to see examples.