Sterilise the jars and lids first, then put the jars in the oven and heat until over 100 degrees.
I have a plastic funnel with the bottom cut off that fits nicely into the mouth of most jars, so I take the tray of hot jars out of the oven and fill them immediately with scalding preserve, then seal them immediately.
Most things benefit from being stored in the fridge once they have been opened, but if you get a good sterile seal then many things are fine in the back of the cupboard.
You can use any jar, the real difference is the quality of the seal that you get - most jar lids will only seal 2-3 times before they need to be replaced - that's why I use preserving jars for things that will be frequently opened.