You need to think about your situation to answer this question. Some people are very comfortable moving into a senior living environment, and they want to be part of the process. Others are nervous or hesitant about it, but they have to move for their safety. It would be best to think about what is best for your loved one.
I did not take my mom with me when I began my search. I decided it would be too overwhelming for her and decided I would screen a list of places, and then once I narrowed them down, I would take her to see the final list. This worked out very well for her as she did not feel overwhelmed, and I had been able to narrow things down to places I thought she would like and that had what she needed. They were also facilities I knew we could afford. It would be hard to go to a place she loved and find out we could not afford it.
Also, be prepared that you may need to take mom or dad back there a few different times. My mom kept forgetting exactly how each apartment size configuration was, so we went back two or three times to look at them. One suggestion I would make is to take pictures of the rooms at the facilities, so you have something to remind you of which facility had which types of rooms and which room number was what type of room. At the place my mom ended up in, the studio apartments were all different. Each one was configured differently, with other features and pricing.
You can also make sure that you have a shortlist from your loved one about their must-have features so that you can make sure the places you like have those things. Anything you can weed out will help make the process easier. As I have said and will continue to say, this process is overwhelming, and the best advice is to take it one step at a time.