When you say [...feel ashamed to even call this an attempt], it makes me curious of the intent. Is the cutting a current attempt on your life, or something else, such as seeking relief, self punishment, trying to get scars, etc? You don't have to tell me per say, but it's probably good to reflect at some point (ideally before or during, after is okay tho) the potential reasons/feelings/other for a SH session. Cutting is largely known to be an insufficient and unreliable suicide method, despite popularity or media presence.
There are always inherit risks that come with all forms of SH. Please sanitize your blades before/after (I use rubbing alcohol, soap is fine too; just be careful of your hands/fingers while washing if you choose the latter route. That's an inconvenient and unsatisfying spot to be injured in the near future. Make sure blades are dry from blood and water especially afterwards/when storing, lest they rust and become useless or make you unnecessarily sick.)
Blood is pretty much an always when cutting. I usually lock my door and remove whatever piece of clothing blocking the area I want to cut because bloodstains are a bitch... And take a stash of clean disposable paper towel or TP with me to keep the area I'm working with visible and catch drops before they get on anything undesirable. I don't recommend a reusable rag, as it will stain and you'll need to wash it; if you live around others, they'll question it. I hide the bloody paper in the trash once I'm done. Put pressure on the cuts with your hand or paper when you're ready to help stop the bleeding (this won't work right away). How/if you want to bandage it is up to you and the size/nature/location of the cut. Rinse the area with clean water, maybe soap when you're done (NOT rubbing alcohol, this kills cells and halts healing)
I also personally try to cut in places where it will be concealed by clothing in day to day life; my main spot is on my shoulders and my upper thighs. This works for the most part, but nurses see my shoulder scars when taking my blood pressure. They haven't been questioned, as they are relatively healed currently and my mental illnesses are known by my doctors, but deep cutting will leave evidence on your body for others to find, whether you're still alive or on the autopsy table. Every action has an equal output, as they say.
I also personally find a bit of joy in observing and 'nursing' my cuts while they're healing into scars. It's kind of important, too. You want to make sure they're properly closing and not emitting any pus or anything like that (antibiotic cream/neosporin if they are).
I have trouble not cutting as deeply as I want, as well. My scars are light. I have someone irl to compare them to, who has many more and much deeper SH scars. This is a horrible thing for my brain to do and feels unfair to them as well. But a part of me is jealous, I think. I want my body to show off how fucked up, scarred and disgusting my brain is. I think the brain is too complex in comparison for my body to be a proper canvas for that, though. The fact that we are going down the path of self harm, attempting it or even thinking of it in the first place, I believe is telling in spite of (but also accompanying of) the result on the body, severe or minor. Something is wrong, and we are hurting. I wish you luck and relief, though ideally through a different outlet than SH.
...Sorry if word vom. Hope something in this passage was useful.