OFFER (предлагать): offer help; offer to help; he offered her a drink; they offered him a good job; he offered to drive me to the store; offer money; offer $100 for the carpet; offer goods at a reduced price; the school offers various night courses; hotels offer various services; offer an apology; offer advice; offer an opinion; offer a suggestion; offer a solution to a problem; offer a plan; he was offered a good job.
SUGGEST (предлагать): suggest an idea; suggest a plan; suggest a solution to a problem; suggest a candidate for a job; suggest him as the committee chairman; he suggested staying at the Green Hotel; he suggested that we should wait a little longer; she suggested that the meeting be postponed; evidence suggests that she was at the scene of the crime; Do you suggest that she is lying? his name doesn't suggest anything to me.
PROPOSE (предлагать): propose a plan; propose a toast to someone's health; I propose Mr. Doyle for chairman; she proposed that the meeting be postponed; propose marriage; he proposed to her.