I've noticed that quite a few people I interact with recently seem to get slightly uncomfortable when they use seeing-related phrases around me, or when I use them. If you're not sure about this yourself, I'd argue please continue doing so. See you later, or let's see, or I'll take a look, in my opinion, are perfectly normal expressions to use and I also use them a lot. I'm not sure what good alternatives would look like (hehe) that don't sound forced or unnatural. It's really fine.