It's still quite a sensitive subject and people share this only with someone they know close enough. Probably better to keep it secret as long as possible. Age matters. The younger they are the more likely they are to not care. Also, seems better not to say about marriage to another man. If you don't advertise it and act as if it's uncomfortable for you to discuss your love life people might think you are shy in these matters and wouldn't ask questions.

Besides, unmarried men without families of their own are not a rare thing in Russia today. So I don't think this looks suspicious at all.

You might want to think of some scenario if some girl tries to date you) In that case probably some prepared explanation might be good.