Maybe my workout is wrong like you say, but i'm definately not bulking.
Not wrong, I just think you could achieve more. There are so many variables and unknowns when it comes to exercise, it's still not the most exact science, so the number one advice I give people is to track their progress. If something is working, then it works. And if it doesn't it may not work at the moment or at all. Pretty simple really. So if you are getting good results, stick with it.
The main difference between bulking and not is your diet and drugs. I am assuming you aren't taking steroids or the like, so you won't bulk from that, but the main bulking that will happen is training in the hypertrophy range and eating in a positive calorie balance and getting lots of good protein at key times. If you hit the hypertrophy range and stay in a maintenance diet or calorie deficit, you will almost certainly not bulk. A lot of people struggle to bulk, so it is hard to do by accident.
The stuff about low weight high reps comes from a myth commonly told to women who are worried about becoming too masculine by bulking (this would be almost impossible for them to achieve without drugs). High reps low weight will let you build muscular endurance and little else. It has very little effect on the appearance of the muscle in my experience.
By the way, this is a home workout. I don't currently have access to a gym near me. I only have access to a chin up bar and 2 8 pound dumbbells that I can combine into 1 16 pound dumbbell. I try to make due.
Ah, that can make it a bit harder. Dumbbells are a pretty bad piece of equipment compared to everything else available IMO, especially fixed ones. I would say rather than focusing on doing more and more reps with you dumbbells, you should consider progressively harder bodyweight exercises. There is such a range that you will never really find yourself without an appropriate exercise.
So my recommendations of Bulgarian split squats and Hanging leg raises are still possible with that equipment, but I'd still suggest you do a couple sets of ATG squats if you aren't already doing you squats like this.
As for a replacement for the deadlift, it really isn't a comparison but you could do an bench back extension through a nice large range of movement.