This post walks through finding and downloading Vivado 2019.1 on Windows 7. It was written on May 6th, 2020.
A Xilinx login. Get one at [https://login.xilinx.com/] (click the Create Account button).
Step 1: Go to [https://www.xilinx.com]
Step 2: Click Developers
Step 3: Click Download the Latest Xilinx Tools
Note: This takes you to [https://www.xilinx.com/support/download.html].
Step 4: Click 2019.1
Step 5: Click Vivado HLx 2019.1: WebPACK and Editions - Windows Self Extracting Web Installer [link] (link requires login) 64.62 MB (this is just the downloader, the actual download is much bigger)
Note: Here's are the [release notes] for 2019.1 (the link on the web goes to 2019.2)
Step 6: Click Sign In
Step 7: Click Download
Note: Downloads Xilinx_Vivado_SDK_Web_2019.1_0524_1430_Win64.exe
Xilinx logo from [link]