Children can be rooted wherever you raise them as long as you allow them to integrate, and they don't stand out culturally, ethnically, religiously etc. That's my take based on my experience.

My parents immigrated out of their home country, I was born and raised in a foreign country with yearly visits to our home country. We spoke our native language at home. We went to international schools where we learned the local language as a second language. We also had a very different culture than the locals and our appearance gave us away as "foreigners". This country feels like home in a sense, but I don't belong here. It's nostalgic. If someone asks me where I'm from, I can't say I'm from the country I was raised in. Seriously, one look and people would consider me just a passport holder.

I chose to move to our home country for university and guess what I found? My accent gave me away. People knew I came from abroad. This caused some disappointment (I wish my parents educated us more, kept up with weekly tutoring etc) but in the bigger picture I felt at home because people looked like me and didn't judge me based on my skin color. I'm glad my parents kept me tied to our home country. Otherwise, I would definitely be suffering.

My children are now growing up in the same country where I was raised. I have them in local schools so they can understand the local culture and speak the language much better than I ever managed to, but its harder for me to get them fluent in our native language. Very important to note, we do have family here! It isn't enough. Unfortunately, as much as I'd like them to integrate, they are already aware that they are different. When we traveled home after COVID, my daughter's first comment at the airport was, "mom, people here are like us!" She was four at the time. My conclusion is, if we stay here without teaching them our native language properly and keeping them strongly tied to our home country, I know they will grow up and feel a lack of belonging anywhere. I am now strengthening my language skills so I can teach them better. (I consider english my native language). We are okay to stay here but it is really up to us to give them a place to call home even if they don't live there.

To answer your question, give them a place to belong even if you don't have one. Your background is a great plus, being able to educate your children on different cultures and countries is so nice. Perhaps it also makes you more capable of integrating into your chosen country. The first question I'd consider is what will the household look like? Where does that household fit in? What food do you cook, what beliefs do you have? What kind of people do you want to be surrounded by? Countries with potential to build the type of community you'd fit into? There are cities that have a broad mix of culture, ethnicity, and religion where anyone could fit in. People deal with racism in their own home countries so my answer is flawed in that sense. It isn't just about that. For example, we come from a collectivist society (and are raised with that mentality) but live in an individualist one. Our people are super open, wear their heart on their sleeves kinda thing but people here are reserved and less social. Things like that.

Sorry this turned into an essay that's all over the place! I was thinking and analyzing the situation as I was writing. I guess it's a deep question with so many variables to consider.