Shouldnt create problems but there's 2 ways you can go about this:
Firstly if you would like most monitors to work on your 1200 then you need to get a scandoubler / flickerfixer which are sadly, not cheap (Usually £80 - £100+ or $120 - $180+).
Or you can go for a monitor that scans to 15khz (I think thats the frequency). Commodore ones do along with some Nec and Sony "MultiSync" ones.