Proper term, when copying from one drive to another, would be to copy, or transfer. Upload refers to when you are sending data from your computer to a remote server somewhere (i.e. on the internet, or on a company network, etc.) Download refers to when you are retrieving data from a remote server somewhere (i.e. the internet, most commonly) to your computer.
Ok, terminology out of the way. If this is Windows 10, then really its the same as Windows XP, Widows 7 & 8. You can just open two "Windows Explorer" (Explorer for short, this is Microsoft Window's standard disk and file exploration and management program) windows, one displaying the directories (or also called Folders) and files you wish to copy from your old drive, and another displaying the directory you wish to copy them to on your new drive. With both windows open side by side, you can select the files and folders you want to copy. This selection can be done a few ways. Either "drag" a box around them with the mouse (click and hold at one corner, keep holding and move the mouse to create a box around the content you want to copy), or you can select files individually or in ranges using CTRL+CLICK and SHIFT+CLICK. To select more than one file at a time, select one, then press CTRL, and keeping that pressed, select additional files to be added to the selection. To select a range of files, click the first one, then press SHIFT, and keeping that pressed, select the last file in the range. With files displayed in a list, the range is up/down, down/up, top/bottom, bottom/up. When files are displayed in a grid, the range is left/right, and will wrap rows. Note, you can multi-select with dragging as well by holding CTRL when making subsequent selections.
Once you have a selection, you can copy in one of two ways. You can again "drag" the selection, by clicking one of the selected files and holding the button down, then moving the cursor to the other Explorer window you opened into the folder you want to copy the files to, and let go of the mouse button (i.e. "drop"). You can also just hit the "copy" hotkey (CTRL+C) once you have made your selection of files and folders to copy (doesn't matter how, you can drag to select, or use single or range file selection as described above), then click in the other Explorer window where you want to copy them to, and use the "paste" hotkey (CTRL+V).
When you copy, windows should display a progress window for you.
Rinse and repeat for each set of files you wish to copy to each destination folder.
BTW, to open anything in windows, you can use the hotkey WIN+R (which stands for "Run"), which will open the run dialog. With Windows 10, search is endemic, so you can also just hit the WIN key, which will bring up the start menu...then, you can simply start typing to search the computer for programs. If you hit WIN, then type "Windows Explorer", it will show up in the search and you can run it that way, if you don't know how else to get to it.