Can you Kayak anywhere?

Just moved here with my family and I’m trying to up my physical fitness but hate the gym. I love being outside and kayaking. There are little lakes everywhere. I’m wondering if you can kayak in them? Lots say “No swimming” “No fishing” and “No ice skating” but it never mentions kayaks? Does “no swimming” mean no kayaking? Anyone know if kayaking in these lakes is legal/ok? I have 3 big ones within walking distance. I’m not going crazy just want to do laps and row around with my family.