NO NO NO NO NO AND ABSOLUTELy NO!!!!!!!!!!
This thread has brought up really bad memories, won't go into too much detail, but lets say that I didn't really start to feel dd1 was my baby, until mil left (after a 3 week stay, dd1 was about 5 weeks).Hated every single moment and have had huge problems with her ever since. My confidence about the new baby never had the time to build up while she was there, even though she wasn't too intrusive, but she was THERE all the time, I didn't even have the courage to take dd1 out, because she was so apprehensive (and I'm not usually, but being my first baby, it just rubbed out on me). And I had known her for a long time (unlike you).
I was so horrible I kept thinking about it, I desperately wanted another baby to enjoy those precious first few weeks together!!
Second time round, I managed to keep her off until dd2 was about 5-6 wks, but my own mum stayed for the first 3 (but having an older child we had to have someone, all our relatives live abroad) so we onl ahd a couple of weeks on our own but they made all the difference, dd1 was at nursery and I could finally enjoy my baby the way I could never do with dd1.
If I went back, I wouldn't have anyone until I was ready with dd1.
I have given the same advice to everyone I know. I know its difficult, when I approached the subject of wanting to spend time with dd2 alone this time, dh snapped at me 'my mum IS coming', so I had to be very diplomatic...I just said that I thought we needed time alone as a family and that a couple of weeks would not have made a huge difference to her, and organised a weekend away for us.
This has touched a raw nerve with me, after 6 years it still brings tears to my eyes and I'm so glad I've had the chance to do things differentl with dd2, but your first child is very special, and ou all need time to adjust to the new baby and our new responsibilities as parents (it can be overwhelming), you don't need an added pressure.
Best of luck with dh!!
(sorry about the long post)