For converting to SVG inkscape is rather nice, especially for black and white illustrations, I had good results with it. You have to play a bit with the settings but not that much.
Not sure what you mean by page layout but if you mean playing with text placement and flow I think it has tools for that (I never used them so not 100% sure)
Ah ok. not sure you'll be able to do exactly the same thing with inkscape (when I did something similar I just exported the SVG from inkscape to a PNG file and cut it with gimp or a custom program. There may be other ways now, this was 10 years ago, lol)
Inkscape has extensions available so there may be one to auto cut an A3 SVG file to 4 A4 sheets, it's worth having a look
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