M.S.
14 months is still kind of at the stranger anxiety stage, I wouldn't worry about it. MAybe have her take her somewhere really fun, like chuck ee chees, or a park, somewhere that is fun but she will relate to mine and grandma's special time. I would encourage her to just come get her and let them go out for a while, or come over and do something fun like make cookies together. The more comfortable you are around them, she will take her cues from you.
What time does your DH get home at night and when does your daughter go to bed? Maybe you can keep her up until storytime and let him read to her and put her to sleep. Cuddle time can be just as happy as play time. We have weekends that we have mommy day and daddy day. One day a month he takes her to the zoo for their day, and one day I take her to the aquarium. We both are responsible for the enitre day from breakfast to bath time. That way we get a break and have one day to ourelves, and we get to have a day to spend time with just the munchkin.