I would like to engage in an English lesson/conversation once or twice a week....that is perfect. Other choices might be: I would like to participate in... I would like to do conversation... to engage is really great, something a mature person might say more than say a teenager. Sort of a higher level of language use, but very correct. You might say to a person on iTalki, "I would like to engage in conversation with you" but in spoken language you are more likely to say, "I would like to have a conversation with you"

wonderful answer. thanks so much

I don't think so