if you read what some of the members have done so far, just sticking the cutting into a soil when it's warm outside is one of the method. some say it works great. it always failed for me.
most members will root the cuttings first... you will have to find out what works for you best. for me, it's moist paper towel in the ziploc bag. some use long fiber s. moss and a shoebox. others pure perlite.. and more options than i can care to remember.
once the cuttings have rooted, you have choice between going straight to 1 gal, or cup stage. lot of the members, including i, do the cup stage to monitor further growth of the root and possible, more like definte, top/leaf growth. at this stage, the top usually need some moisture. others say otherwise.
then it goes outside when night temp is more stable and above 40-50 degrees.
i don't store cuttings, so can't answer the last one.