It's the exact same process, just the other way around. Are you using Windows Explorer to copy/cut and paste the pictures from your camera to your computer? If so just do it from your computer to your phone.
No, on the cell phone it is very simple. It just says do I want to post this picture to facebook and I click on it and it does the rest . So how would I send the picture from facebook in the computer to the smart phone ?
You can use dropbox.
ok, I downloaded dropbox but I can't figure out how to send a picture from facebook in the computer to my android smartphone using dropbox ?
Dropbox should have created a folder in your Documents (or wherever you specified it). Whenever you drop a file in there it should also appear wherever else you have Dropbox installed, in this case your phone. It needs to be installed on both devices.
Also, ignore Facebook. Facebook is not a photo transfer tool. You can use it as such but it's terribly inefficient and not what you want to use.
How do I install dropbox on the phone ? Also how do I get the picture in the computer into the dropbox ?
Download Dropbox from the Play Store or the App Store and sign into your account.
Whatever photos you want to send to your phone, make a folder in Dropbox and save the photos there. Allow them a few seconds to sync, then open Dropbox on your phone and save the picture from Dropbox to your phone.
Problems, problems and more problems. I found the Dropbox app in the playstore but it is telling me that I don't have enough memory to download it. This is not true because I just recently had a huge memory chip installed in the phone. How do I direct it to download onto the memory chip instead of the internal memory installed in the phone ?
You can't. It's a limitation of the Android OS. Move some files (pictures or music would work best) to the SD card then install the app. If it's an Android I still stand by the fact it would be easiest to just plug your phone in to your computer and copy and paste using Windows Explorer as Geoff explained earlier.
Use your PC and do it. It would be much easier than trying to explain how to do it with your phone.
but I don't have any storage space for anything now in the smart phone and need to transfer to the memory chip I installed to free up space
Plugging in a USB cable will certainly work (provided there are Windows drivers available for your phone) but IMO DropBox is a much better solution. I personally haven't plugged any of my phones into any of my PCs (for file transfer) since I discovered DropBox a few years back. Using DropBox, I can have a picture on my phone or one of my computers and within minutes it's available on my other computers, laptop, netbook, tablets (both Windows and Android) and phone because I have it setup to sync to all those devices.
You could also use Bluetooth if your computer supports it but that's not a particularly good solution.