First thing about the taking picture and the shake, is you need to have more light. It doesn't have to be a special set up, just lots of light. Cameras will adjust the shutter speed to the amount of light, and if you get below 30th of a second it get really hard to hold steady. If you don't have good lighting, then the best is natural lighting from like a window or even outside. I use to be a photographer and can help you with this depending on what you are trying to achieve. If just taking picture to post then what you have is just fine. If you are going to sell on line, well I can give you pointers and what is needed but that aside.
The first is is a pretty common Bud Vase, see these alot, even had or still have a couple, not worth a whole bunch except when you put a rose in it and give it to the lady
. I am kinda intrested in the second item, this looks like a cool and unique platter or serving plate. It has the Depression look and style, but would guess this to be more late century in age. The shape has a cambridge look, but the motif on the Edge doesn't. Overall it is unique and would be worth $10.00 to $20.00 without knowing more. Of course if you can pinpoint maker and cir. Value can go up, mostly based on now people looking for that item can find it and that means $$.00 for sure.
The Tea cup are probably late mid century to early late in age. Made as exports, finding makers on these is next to impossible. Import companies buy the stuff from many makers and send them here for Us to consume. It does appear handpainted and also looks like what is called Eggshell, very thin porcelain. Over all in the tea cup world Looks tend to first and foremost, follow really close to makers. Basically you have three levels of looks, Plain, Fancy and Extra Fancy. These are kind of between the plain and Fancy. These overall are hard to sell but generally and Fancy one is worth about $20.00. Hope this helps a bit.
The only other question I would have would be what you are doing with the items? If they are for yourself, then Buy what you like and looks good with the decor, if you are buying to sell, well this is a whole different ballpark.