Photographing the globular star clusters and other deep sky objects is usually done with a telescope and using either with a color camera or black & white with color filters. Globular clusters are usually bright which makes them simple to photograph. The fainter clusters usually require a larger telescope and more exposure time. Generally, this kind of photography will require the main telescope, a guide telescope, imaging collecting software, and automation of some kind. I used ACP for automation which connects to MaximDL and FocusMax. ACP moves the telescope to the object, center it, take the exposures, and focus the telescope as needed.
I usually use exposures of 60 seconds to 300 seconds and take anywhere from 30 minutes to 60 minutes of imaging time. With fainter clusters I will go longer than 60 minutes. The color cameras have the advantage of just taking one set of images. The cameras that require color filters also need to take a set of images for each filter. The advantage of using a black and white camera with filters is the quantum efficiency is much better than a color camera.
I used a software package called PixInsight to calibrate the images, align, and stack the images. With non-color cameras this is done with images for each filter, then the red, green, blue is combined into a single color image. I use PixInsight for some post processing once a final image is created, however, I do most of my work on Lightroom Classic, Photoshop, and Photoshop plug-in.
For I know that this will turn out for my deliverance through your prayer and the supply of the Spirit of Jesus Christ. Philippians 1:19