Ebejer078,
Since your a Honda guy, you know how well made their products usually are and they will last the test of time. I too have had many Honda products, mainly cars but, small engine equipment as well.
Starting with your CR-V...Stay with what the owners manual call for during the warranty period. I guess any 0W20 or 5W20 will be suitible and there are some good oils on the market that will satisfy the needs of the engine. I don't know if there is one oil that is better or equal to the "NEW" Honda synthetic oil but, there certainly are some good ones on the shelves that meet Honda's specification and may in turn be even better than Honda's Oil. I would and do, buy by price. I prefer not to pay dealer prices.
Also, these CR-V/Accord engines are some of the smoothest, lowest wearing engines in the industry. See the Used Oil Analysis(UOA) section. I'm sure that the engine in your CR-V will outlast the rest of the vehicle if you only used conventional oil. That's just the way they are!
For your small equipment(mower & pressure washer)...What! No Honda snowblower in Toronto?
I have only used(many folks call it) mineral/conventional/dino/fossil - oil in small engines, Honda's or otherwise(B&S/Tecumseh). And yes, you can use synthetic oil in them. To me though, it's not economical, as engine lubracation has never been "my" issue with small engines. It was everything else that failed over the years(just like in my cars).