Replacing Radiators

Doing a renovation and would like to remove the bulky cast iron radiators. They heat the house perfectly, but I’m concerned that it may burn my 3yr old or might be a problem for my baby on the way. I’m thinking about baseboard but is that the only option that I have? My heating contractor told me of a low profile cast iron baseboard, but it potentially gets hot like a full sized radiator being that it’s also cast iron. Almost feel like I’m throwing away money replacing them, but don’t want my kids to get hurt. Opinions anyone?