Do you NEED a washer and dryer? Do you even NEED a microwave? I have 2 sets of duplexes and both my financial advisor and property managers recommend that as the washers and dryers break, I not replace them. They said since a duplex is basically like a small home and most of the folks I'm renting to are couples or families, they usually already have a washer and dryer. In fact, the PM said some people have even put their washer and dryer in storage while renting my place.
As for a microwave, I've rented plenty of places that didn't have them, both as a landlord and as a renter. (None of my duplexes come with a microwave and they stay rented.) They are pretty cheap. I think most folks already have one or are willing to go buy one. I don't see that as a deal breaker for a renter. That's just my 2 cents.
As for where to buy stuff, another post was saying a lot of folks go to Lowe's and Home Depot. Also, I think they both give discounts if you're a veteran...or know one willing to buy for you. Also, Black Friday is coming up if you can hold on that long. There is also Craigslist, with the understanding that they may not match and as used, they may not last as long.
Oh, and I don't know if you have a choice, but people are also saying to go with electric over gas stoves as there are more chances of accidents and some renters just don't know how to use gas.
Good luck!