My DD is 2, I'm a SAHM and we have a housekeeper / nanny who comes daily 9-3 on weekdays - she does all the cleaning, laundry, ironing, cooking lunch etc. The only thing I do is cooking dinner. So essentially I'm with my daughter all day, I try to plan really fun things for her like playdates, go to various playgrounds, soft play, feed the ducks, ride her bike, go to kid friendly museums etc. However if I have a doctors appointment or need to get something done (around 1-2 times per week when I'm gone for 3-4 hours) my daughter will stay with this nanny / housekeeper until I get back (they usually just go to the park).
It feels like my daughter loves the nanny / housekeeper (call her NH for short) more than me and I can't understand why. If NH is home when we are, she will prefer to play with NH over me and actively tell me "go away mummy" if I walk into the room they are playing in. If I'm dressing her for the walk she will request that NH does it instead. I don't stop them and it's now turned into them playing together just after her nap because if I ask whether she wants to go outside, DD will say no she wants to play at home with NH rather than go with me to the park or do anything with me...