Gravity (or the lack thereof) is a real problem, but simulating gravity in a small enclosed area is actually pretty simple. I'm thinking off the top of my head exercise areas and sleeping quarters in spinning rooms at (or maybe slightly above) Earth gravity. The questions really are, how much time would a person have to spend in Earth gravity if the rest of the time is spent in ~.4g (Mars gravity) and does it matter which direction the rooms are spinning in. Those questions could at least be partially answered right now, we could do experiments on the ISS (thinking on mice, not enough room for people I think, which is why I said partially) on the effects of artificial gravity.
Child birth is of course more problematic, we would need to see how long the mother would have to be in artificial...wait a minute...OK test tube babies, in a more literal sense then we use that term now (complete growth outside the mother), I don't know where the science is on that front right now but I think that is the logical long term answer. If the children were exposed to earth gravity from conception to, well, whatever age (I don't know) that their growth slows down to the point that they could be exposed to some Martian gravity, then that problem is taken care of. The other option that I was going to say, would be to figure out how much longer the mother would have to be in artificial gravity compared to someone not pregnant, which the answer may be the whole time, which would be, very bad, I think. In both situations the child would be exposed to artificial gravity after birth constantly, or at least to a greater extent than an adult, until they grow to a specific point.
This was a reason that in that video I linked before that Venus could be a better spot than Mars for human settlement. Gravity on Venus is ~.9g, it would probably be lower at the altitudes that we would live at, but that is still better than Mars in that respect. But I think Mars is the better choice, either way we will need infrastructure not needed on Earth simply to survive.
Simulating gravity planet wide or with "fields" is outside of our current technology, and I think impossible.