My wife & 4 year old kid would be accompanying me.
With a wife and kid that needs to be placed in a private school, you are looking at expenses of at least 6000 to 7000 a month.
The appartment, together with utilities and internet, will cost you between 2500 and 3500 PLN, depending on quality and location.
Food is going to cost you about 50 PLN for three people per day. Slightly less if you are eating simple vegetarian, and more if you are going to want to cook and eat Indian meals. That's 1500 PLN for the three of you. That's just basic, no-frills eating at home.
The school is going to cost about 500 PLN a month.
That's from 4500 to 5500 PLN just for housing and basic food. Add another 1000 or more for sundry expenses like entertainment, public transport, clothes and toys.
So if your NET
income is going to be less than 7000 PLN a month, it will be hardly worth you while to move here, unless you want to live at a very low standard (one bedroom apartment far from the city center, cheaper preschool for child, watching every penny).
Things can get a little cheaper once you settle in and learn to live in Poland. But not all that much in your case.
The area around ul. Wyścigowa is a residential area, generally good and expensive, although there are some cheaper, poor quality places nearby, like along the railroad tracks on ul. Warsztowa. Frankly, though, with a wife and kid who don't blend in and are likely to be perceived as Gypsies, I would stick to the better parts of the neighborhood.