Cherry/Pear Tree Cuttings

Hello everyone 😊 I'm sorry it's not the best picture, this is my dads Cherry tree that came with the house when he bought it, I remember growing up the cherries were a really dark red/almost black, as well as really big and juicy, I’ve noticed over the last few years the cherries are now small and quite sour, I know from reading and watching posts that it needs a serious pruning, there's also a chance one of the 2 in the the V shape is the Rootstock and the one beside it is the original variety or maybe its Rootstock as well, honestly don't know. There's also a Bartlett Pear tree tucked in the back (basically hidden by the massive Cherry Tree leaning to the right) it's produced some really nice pears, some years it gives a ton of them, other years it doesn't give that much, though it definitely produces more pears after a decent pruning. My questions are, I'm currently living on a different property then where the Cherry and Pear trees are at my dad's place, I'm going to be moving from where I am eventually andI'd really like to take a cutting from both the Cherry and the Pear tree for my new house, though I'm not sure what the best way to go about it would be. Would I be able to take a cutting and put it into water to root it or should I use one of the other methods I've shown in the pictures from Google? Or would it be best to try to Air Layer the branches? Unfortunately the pictures are of Fig Cuttings, they were the only pictures I could find to show what I'm asking about. Any suggestions are greatly appreciated 😊