Question: My instructions that came with my kit said that I should let the bottles sit for 3 days, then age in the fridge for 10 days. If I don't refrigerate, will I get bottle bombs?

Advice on forums and other places says to leave them in the bottle for two weeks or even upwards of a month, I doubt every brewer has enough fridge space to store 5+ gallons of beer for 1 or 2 months. So, I am inclined to think they won't blow, unless I bottle with too much unfermented sugar in them. 

Will leaving them out in room temp, cause them to pop?
Are there any other reasons for me to refrigerate my beer, aside from taste?

Answer: 
My process is to bottle condition at room temperature then every 7 days put a bottle in the fridge overnight and give it the taste test. 

If its carbonated to your liking then load up the fridge, else wait till the following week.
if you put the beer in the fridge after a week of bottling it will be a little flat but still it will taste better than cheap bear from the store . if you want to be safe wait 2 weeks befor putting in the fridge