Actually I think you having a home base of neutrals is a positive.. My house is the same way.. I think If you make more than one piece, say the bright coasters and maybe a matching throw or runner = it was done on purpose, a design choice lol
I plan on making several wall hangings for above my fire place with matching throws to go over a chair etc...Switching them out often
However, if you just can't get past the cordination thing but are dying to add color... You might try making things with less saturated color.As in lush jewel tones as opposed to bright primary type colors...
I'm also going to make my hallway the "anything goes" walkway lol
Really, It just comes down to what makes you smile when you walk in the room..No ones comments can top that feeling (smile)