Lensgo DL55 Large Diaphragm Condenser Microphone

No it doesn't but it doesn't need it. The noise floor is practically nil - no noise. As good if not the same as the Neumann U87 costing 3200.00. I bought 2 of them. Excellent. All is determined by the equipment noise floor used.

This microphone would be great for capturing the warm mids of a trumpet. However, the more important factors are the room you record it in, mic placement, and the signal chain processing. Also this would be a good choice because getting two wouldn't be very expensive. Some of the best trumpet recordings use two mics.

Yes, this mic will work, probably pretty well for overhead cymbals, because it has a reasonable flat frequency response to between 10 and 20KHz. This is were a lot of the energy is for cymbals.

This is a well made microphone in a metal case so it has some weight to it. I am using a desktop microphone arm stand that works quite well. There are a number of other desktop mic stands on Amazon, all of which will do the trick. If it is a boom stand, make sure the counterweight is sufficient for this mic.

Suitable for recording studios, radio stations and audio engineers

48V phantom power supply

The microphone has a low noise floor which would make it a good mic for voice-over work. It i a good choice for vocalizations or other singing and is - actually - a good overall microphone for instruments and guitar cabs. For voice and singing you will need a pop filter - for instruments and cabs that won't be required.

No phantom power included

You need an audio interface. You plug your mic into the audio interface - make sure you get one with 48 volt phantom power - and then plug your interface into your computer using a USB cable. An example of an audio interface is the Focusrite Scarlett Solo 3rd Gen USB Audio Interface. Google audio interfaces and that should get you started.

I used 48kHz, but if your interface supports it, there isn’t any reason that you couldn’t use a higher sampling rate.