What does everyone else think?
Think about what? That you have explained your limits to your partner? Good on you. You definitely tell your partner where your limits lie.
What MY limits on checking people are out with DH?
Depends. It's fine to look if we are out together -- just SHARE the peekie with me so I can look too!
It is fine to look if you are out alone -- and you can share the peekie verbally later or not. Up to you. Sometimes I'm out alone and admire someone from afar and I remember to tell DH about it or I don't. It's not a big deal to us. We're not looking to ask for their phone number or anything.
But no peekies around the kid, or around other people that could take it out of context -- that is not discreet.