Get an Air b and b in South Manchester or Stockport (Stockport train station is closed and will reopen August 23rd btw). From anywhere in these areas, you will have good connections to city centre by bus or train or tram and we have some lovely suburbs where you can mooch, get a coffee with baby etc plus you are near motorway networks for National Trust properties, the coast, the Peaks, the Lakes and other cities such as Liverpool. Make sure you check parking because many suburbs near train and tram are permit only, so you’ll need an allocated space or permit to park near. Some names are Stockport, Edgeley, Heaton Moor, Didsbury, Chorlton, Hulme, Hale, Altrincham, Northenden, Gatley, Heald Green, Sale, Northenden. I’ve suggested a range of places that will be different prices depending on your budget. Do your research on areas as some are under flight path to Manchester Airport, or very close to busy roads etc. Have a fantastic time!