I have a 20 month old daughter and a 6 weeks old daughter.

I am still trying to figure out life with two babies under 2 and I'm basically just going with the motions to survive each day because the days have been so hard. My baby has colic so that means hours of screaming and with a toddler that's into everything and also wants all my attention it's really hard and sometimes we are all just crying. My fiance works monday to Friday and should be home by 6pm everyday but the past 4 weeks hes worked every single day of the week until 9pm hes seen the babies for half an hour in the morning that's it and on the odd occasion hes come home in time before bedtime our daughter isn't bothered by him and he has no bond with our newborn. We have already had conversations about this and he says it will change so we will see but that's not what I wanted to talk about.

Basically all my time everyday is consumed by my newborn which is understandable shes a baby but shes s baby thsy doesnt sleep longer than 15-30 mins at a time which means I get hardly nothing done and I dont get much time in the day to play with my daughter. I feel like I'm neglecting her because only 6 weeks ago it was just us then I went to hospital in the night whilst she was asleep and brought home a baby the next day and shes too young to understand but shes great with her so loving but she does get mad at me if I'm holding her for too long or shes asleep on me so I've been thinking about dedicating one day a week or fortnight to her just us my mum said she will look after the baby and then I can take her out to dinner, the park, soft play etc because i just feel so bad that she doesnt get enough time with me and I feel so guilty. My fiance says theres no point because she doesnt understand but i can see she gets bored in the house most days I try my best to go out but with the frequent feeds and lack of sleep also only having one paid of hands and eyes its extremely hard for me to take her anywhere right now. We go on walks alone and we go out of someone comes with me like my mum or sister (my fiance and I havent been out once together yet with them not even a short walk). So I think she will really benefit from one on one time with me where I don't have to stop every 5 mins to sort out the baby.

Do you think it's a good Idea?