Hi
We live outside Munich (in the years we've lived here DH has worked in Munich and on the outskirts - now works east of Munich), and that is about the same as our income. We live fairly comfortably on that with 3 kids.
Munich and the area between Munich and Ingolstadt generally are THE most expensive places to live in Germany - people who say Germany is cheaper than the UK absolutely do not live in this area!
That said you can get a nice house outside the city within your budget, or an OK flat in the city... It depends on your priorities. We chose to live north of Munich in the less "glamourous" countryside (rolling farming countryside and forests, but the other side from the alps and lakes and half the price of living where the very well off ex pats live among the more picture post card scenery) for various reasons (DH is German and has family in a town another hour north) but also because we can rent a 4 story, 4 bed house here where we'd get a tiny 2 bed flat in the city or a very small semi or bigger flat in the suburbs. I find life in a genuine village (as in a village surrounded by fields, not a suburb that joins the next suburb but calls itself a village) has massive advantages for kids - the village kids all play out and it is such a lovely life for kids under about 10 IME. Of course there are the usual drawbacks - need 2 cars, will be more and more boring for teens unless we are willing to play taxi etc. but those won't be relevant to you with small kids.
We only pay about 1/4 of our income in rent out here, though it would be at least half in the city for a much smaller place...
Kindergeld (child benefit) is universal and more generous than in the UK - you also get more for any kids who are under 3 than for older kids. All our kids are over 3 but we get €580 per month for 3 kids.
Kindergarten is state subsidised and cheaper than a preschool in the UK I think BUT if you want a private English speaking Kindergarten that may not apply (though that would be daft -IME unless your kids have SN or are very wobbly about the move) and childcare for under 3s it is expensive and very scarce (in our area anyway, it varies).
I love, love, love our Kindergarten (have sent 3 kids there and had at least one at the same Kindergarten without a break for the last 8 years!) but some Kindergartens are dreadful - so you need to balance the fact places can be like gold dust in the city with the need to visit and ask other parents what the Kindergarten is like. I'm much more ambivalent about the school system (but I think that is now equally stressful for kids in some parts of the UK now) but for under 6 yos life is good IME :o
We are an hour out of the city so my experiences are totally different in many ways to a city dweller, but I prefer living here with kids to in the UK - kids have so much more freedom, learn to be so self reliant, and have so much more time to play - the kids I know are outside playing all the time, playing out is still absolutely normal and universally encouraged, people look out for kids, despite the grumpy faces some German adults are famous for I find people much more tolerant of kids overall than in the UK, kids grow up slower in terms of tech and screens, teenagers are generally nice and polite and friendly...
What do you need to know specifically? I'll try and answer if I can.