My husband and I will be flying United this fall from SFO to Europe and I am trying to figure out if we can bring our small duffles onboard as carry-on. One duffle is a small Nike 20x11x11 and the other is a Vera Bradley Weekender bag 18 1/2x12 1/2x8. I was also wanting to bring my Large Longchamp tote as my purse (have never had a problem in the past, it fits under seat, but...) and dimensions on that are 11.25Lx7.5Wx11.75H. Wondering if that would now be considered a carry-on instead of a personal item (i.e. purse). Thanks for any advice.