There is a large signal loss from using splitters. If you have 2 way splitter then half the signal power goes one side and half on the other side of the splitter. If you have a 4-way splitter then each cable has 1/4 the signal power. Etc.
If you want to use a splitter I suggest you boost the signal with an amplifier before the split. I think a 10dB-20dB amplifier might work fine. There are so many variables the more parts that are added to the system and quality of components start to matter a lot.
perfect splitter have losses of:
2-way splitter - 3dB of loss
4-way splitter - 6dB of loss
8-way splitter - 9dB of loss
The splitter’s connector + other losses add around 0.2 to 0.5dB to a perfect splitter.
I found this diagram that explain how it the signal gets weaker after a split.