Just moved in to an apartment and there are little black bugs in my bath tub. I think they come through the drain because I often find them in the sinks as well. Sometimes, there are some with tiny legs and pinchers (ugh.)... they don't fly and are about the size of a tick.

They are called silverfish. Been around for years and years. Best way to deter them is to keep the stoppers closed in the sink and keep a stopper in the tub drain as well.

You, they're not silverfish. Those things are gnarly.