For women 40+ and over - Is it normal behavior to ask a man to live with you?

I have been out of the dating arena for 16+ years(Wife died 1st of last year). I just started dating again for companionship and have had 10 dates with one woman(divorced) and left her due to pressure for a live in commitment. I started dating another(divorced) and after dating her 12 times am starting to get the same thing. Is it common to want someone to move in after a short period of time or I am missing something here? I had no ual interaction(other than a kiss goodnight) with the first one and spent just one night with the second one. I can't figure out how to just remain friends for awhile without a woman wanting to get into an immediate longterm commitment. I didn't mislead either one. I told them both I liked them, but I wasn't looking for a commitment right now. I don't want them to get hurt, but how do you date for awhile without them getting too attached right away? Are women faster than they used to be or are they craving a nice guy when they find one? A Clue?