guy wants to date me already he is moving too fast for me

A guy I’ve been going on dates with (probably about 5 dates we went on) wants to date me already. he is moving too fast for me. The last bf I had was narcissistic and love bombed me so I don’t want to deal with that again. I can’t tell if this new guy is like that or just really likes me. Today he asked me if he should tell his family about our relationship yet or keep it a secret still. I thought to myself what relationship I haven’t even agreed to date him yet and I thought we were just going on dates to get to know one another as I already told him I like to take things slow and he had said okay let me know when your ready (this was like a week ago). Is this normal or is he moving too fast? Either way I don’t feel comforted with it even though I enjoy his company and my time with him.