Accreditation doesn’t matter for CS, but it will for engineering - make sure that if you think there’s any chance you go into that, that your schools both offer engineering at all and that they are accredited.
A lot of the accreditation difference in CS are science and engineering classes that don’t really affect what you do on the job 95% of the time - a lot of schools offer a BS that is accredited and a BA that isn’t, and no one who hires you will know the difference.
There’s always the few small exceptions, but in general, you should be just fine.
More importantly, if you want the liberal art experience but also want CS, looking at how extensive the program is will be much more important. Check out this thread from ucbalumnus who has put together a ton of great info on that.